40932812160 has 320 divisors, whose sum is σ = 154780528320. Its totient is φ = 10273112064.

The previous prime is 40932812153. The next prime is 40932812171. The reversal of 40932812160 is 6121823904.

40932812160 is a `hidden beast` number, since 409 + 32 + 8 + 1 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×40932812160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 858057 + ... + 904503.

It is an arithmetic number, because the mean of its divisors is an integer number (483689151).

Almost surely, 2^40932812160 is an apocalyptic number.

40932812160 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 40932812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77390264160).

40932812160 is an abundant number, since it is smaller than the sum of its proper divisors (113847716160).

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

40932812160 is a wasteful number, since it uses less digits than its factorization.

40932812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46495 (or 46474 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 40932812160 in words is "forty billion, nine hundred thirty-two million, eight hundred twelve thousand, one hundred sixty".