40352256000 has 1040 divisors, whose sum is σ = 173166913920. Its totient is φ = 9157017600.

The previous prime is 40352255903. The next prime is 40352256001. The reversal of 40352256000 is 65225304.

40352256000 is a `hidden beast` number, since 4 + 0 + 3 + 52 + 2 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40352256001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303931 + ... + 290304069.

It is an arithmetic number, because the mean of its divisors is an integer number (166506648).

Almost surely, 2^40352256000 is an apocalyptic number.

40352256000 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 40352256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86583456960).

40352256000 is an abundant number, since it is smaller than the sum of its proper divisors (132814657920).

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

40352256000 is an equidigital number, since it uses as much as digits as its factorization.

40352256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 40352256000 in words is "forty billion, three hundred fifty-two million, two hundred fifty-six thousand".