40057312256 has 176 divisors, whose sum is σ = 92208146688. Its totient is φ = 17247436800.

The previous prime is 40057312249. The next prime is 40057312283. The reversal of 40057312256 is 65221375004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12551621 + ... + 12554811.

Almost surely, 2^40057312256 is an apocalyptic number.

40057312256 is a gapful number since it is divisible by the number (46) 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 40057312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46104073344).

40057312256 is an abundant number, since it is smaller than the sum of its proper divisors (52150834432).

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

40057312256 is a wasteful number, since it uses less digits than its factorization.

40057312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 40057312256 in words is "forty billion, fifty-seven million, three hundred twelve thousand, two hundred fifty-six".