41965052160 has 576 divisors, whose sum is σ = 148769187840. Its totient is φ = 10034872320.

The previous prime is 41965052147. The next prime is 41965052231. The reversal of 41965052160 is 6125056914.

It is a super-2 number, since 2×41965052160² (a number of 22 digits) contains 22 as substring.

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, 180107404 + ... + 180107636.

It is an arithmetic number, because the mean of its divisors is an integer number (258279840).

Almost surely, 2^41965052160 is an apocalyptic number.

41965052160 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 41965052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74384593920).

41965052160 is an abundant number, since it is smaller than the sum of its proper divisors (106804135680).

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

41965052160 is a wasteful number, since it uses less digits than its factorization.

41965052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 41965052160 in words is "forty-one billion, nine hundred sixty-five million, fifty-two thousand, one hundred sixty".