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41405911344 = 2433717379147
BaseRepresentation
bin100110100011111111…
…000001000100110000
310221212122112020022000
4212203333001010300
51134244403130334
631004400214000
72664035303460
oct464377010460
9127778466260
1041405911344
1116618615046
12803690a300
133b9b420875
14200b1bbba0
151125148299
hex9a3fc1130

41405911344 has 160 divisors (see below), whose sum is σ = 136615779840. Its totient is φ = 11761728768.

The previous prime is 41405911333. The next prime is 41405911369. The reversal of 41405911344 is 44311950414.

41405911344 is a `hidden beast` number, since 4 + 14 + 0 + 591 + 13 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41405911299 and 41405911308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483579 + ... + 562725.

It is an arithmetic number, because the mean of its divisors is an integer number (853848624).

Almost surely, 241405911344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41405911344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68307889920).

41405911344 is an abundant number, since it is smaller than the sum of its proper divisors (95209868496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41405911344 is a wasteful number, since it uses less digits than its factorization.

41405911344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79344 (or 79332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 41405911344 in words is "forty-one billion, four hundred five million, nine hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 173 189 216 252 336 346 378 432 504 519 692 756 1008 1038 1211 1384 1512 1557 2076 2422 2768 3024 3114 3633 4152 4671 4844 6228 7266 8304 9342 9688 10899 12456 14532 18684 19376 21798 24912 29064 32697 37368 43596 58128 65394 74736 79147 87192 130788 158294 174384 237441 261576 316588 474882 523152 554029 633176 712323 949764 1108058 1266352 1424646 1662087 1899528 2136969 2216116 2849292 3324174 3799056 4273938 4432232 4986261 5698584 6648348 8547876 8864464 9972522 11397168 13296696 13692431 14958783 17095752 19945044 26593392 27384862 29917566 34191504 39890088 41077293 54769724 59835132 79780176 82154586 95847017 109539448 119670264 123231879 164309172 191694034 219078896 239340528 246463758 287541051 328618344 369695637 383388068 492927516 575082102 657236688 739391274 766776136 862623153 985855032 1150164204 1478782548 1533552272 1725246306 1971710064 2300328408 2587869459 2957565096 3450492612 4600656816 5175738918 5915130192 6900985224 10351477836 13801970448 20702955672 41405911344