40056422400 has 384 divisors, whose sum is σ = 147249280800. Its totient is φ = 10675814400.

The previous prime is 40056422377. The next prime is 40056422437. The reversal of 40056422400 is 422465004.

40056422400 is a `hidden beast` number, since 40 + 0 + 564 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22117495 + ... + 22119305.

Almost surely, 2^40056422400 is an apocalyptic number.

40056422400 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 40056422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73624640400).

40056422400 is an abundant number, since it is smaller than the sum of its proper divisors (107192858400).

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

40056422400 is an equidigital number, since it uses as much as digits as its factorization.

40056422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40056422400 its reverse (422465004), we get a palindrome (40478887404).

The spelling of 40056422400 in words is "forty billion, fifty-six million, four hundred twenty-two thousand, four hundred".