40404812932176 has 640 divisors, whose sum is σ = 134778849792000. Its totient is φ = 10338004131840.

The previous prime is 40404812932163. The next prime is 40404812932177. The reversal of 40404812932176 is 67123921840404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404812932177) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14926047015 + ... + 14926049721.

It is an arithmetic number, because the mean of its divisors is an integer number (210591952800).

Almost surely, 2^{40404812932176} 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 40404812932176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67389424896000).

40404812932176 is an abundant number, since it is smaller than the sum of its proper divisors (94374036859824).

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

40404812932176 is a wasteful number, since it uses less digits than its factorization.

40404812932176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 40404812932176 in words is "forty trillion, four hundred four billion, eight hundred twelve million, nine hundred thirty-two thousand, one hundred seventy-six".