40931295328 has 384 divisors, whose sum is σ = 108801294336. Its totient is φ = 14811793920.

The previous prime is 40931295313. The next prime is 40931295337. The reversal of 40931295328 is 82359213904.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 322293601 + ... + 322293727.

It is an arithmetic number, because the mean of its divisors is an integer number (283336704).

Almost surely, 2^40931295328 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 40931295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54400647168).

40931295328 is an abundant number, since it is smaller than the sum of its proper divisors (67869999008).

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

40931295328 is a wasteful number, since it uses less digits than its factorization.

40931295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 40931295328 in words is "forty billion, nine hundred thirty-one million, two hundred ninety-five thousand, three hundred twenty-eight".