40759964000 has 576 divisors, whose sum is σ = 123422382720. Its totient is φ = 13171200000.

The previous prime is 40759963987. The next prime is 40759964009. The reversal of 40759964000 is 46995704.

It is a super-2 number, since 2×40759964000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40759964009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403563950 + ... + 403564050.

It is an arithmetic number, because the mean of its divisors is an integer number (214274970).

Almost surely, 2^40759964000 is an apocalyptic number.

40759964000 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 40759964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711191360).

40759964000 is an abundant number, since it is smaller than the sum of its proper divisors (82662418720).

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

40759964000 is a wasteful number, since it uses less digits than its factorization.

40759964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 40759964000 in words is "forty billion, seven hundred fifty-nine million, nine hundred sixty-four thousand".