40255504000 has 128 divisors (see below), whose sum is σ = 100287130320. Its totient is φ = 16069734400.

The previous prime is 40255503971. The next prime is 40255504021. The reversal of 40255504000 is 40555204.

40255504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6801630784 + 33453873216 = 82472^2 + 182904^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8909742 + ... + 8914258.

Almost surely, 2^40255504000 is an apocalyptic number.

40255504000 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 40255504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50143565160).

40255504000 is an abundant number, since it is smaller than the sum of its proper divisors (60031626320).

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

40255504000 is an equidigital number, since it uses as much as digits as its factorization.

40255504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 40255504000 in words is "forty billion, two hundred fifty-five million, five hundred four thousand".