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41121133440 = 273521417257
BaseRepresentation
bin100110010011000000…
…101011001110000000
310221010210200000110020
4212103000223032000
51133204002232230
630520224333440
72654006603262
oct462300531600
9127123600406
1041121133440
1116491898202
127b77474280
133b5442252a
141dc144bb32
15110a144810
hex99302b380

41121133440 has 64 divisors (see below), whose sum is σ = 131073618960. Its totient is φ = 10965635072.

The previous prime is 41121133429. The next prime is 41121133453. The reversal of 41121133440 is 4433112114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41121133440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10706709 + ... + 10710548.

Almost surely, 241121133440 is an apocalyptic number.

41121133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41121133440 is an abundant number, since it is smaller than the sum of its proper divisors (89952485520).

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

41121133440 is a wasteful number, since it uses less digits than its factorization.

41121133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21417279 (or 21417267 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41121133440 its reverse (4433112114), we get a palindrome (45554245554).

The spelling of 41121133440 in words is "forty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21417257 42834514 64251771 85669028 107086285 128503542 171338056 214172570 257007084 321258855 342676112 428345140 514014168 642517710 685352224 856690280 1028028336 1285035420 1370704448 1713380560 2056056672 2570070840 2741408896 3426761120 4112113344 5140141680 6853522240 8224226688 10280283360 13707044480 20560566720 41121133440