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41330660874720 = 2535773832920231
BaseRepresentation
bin10010110010111000010110…
…10111000001100111100000
312102100011122211010021121020
421121130023113001213200
520404130143140442340
6223523013220525440
711464020206622420
oct1131341327014740
9172304584107536
1041330660874720
1112195264637248
1247761aa850880
131a0a606947a09
14a2c5b3b80480
154ba18a7b09d0
hex25970b5c19e0

41330660874720 has 384 divisors, whose sum is σ = 150854168586240. Its totient is φ = 9316017930240.

The previous prime is 41330660874719. The next prime is 41330660874731. The reversal of 41330660874720 is 2747806603314.

It is a super-3 number, since 3×413306608747203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2042927005 + ... + 2042947235.

It is an arithmetic number, because the mean of its divisors is an integer number (392849397360).

Almost surely, 241330660874720 is an apocalyptic number.

41330660874720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41330660874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75427084293120).

41330660874720 is an abundant number, since it is smaller than the sum of its proper divisors (109523507711520).

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

41330660874720 is a wasteful number, since it uses less digits than its factorization.

41330660874720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28658 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 41330660874720 in words is "forty-one trillion, three hundred thirty billion, six hundred sixty million, eight hundred seventy-four thousand, seven hundred twenty".