40056400 has 60 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 15917440.

The previous prime is 40056383. The next prime is 40056421. The reversal of 40056400 is 465004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95391 + ... + 95809.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^40056400 is an apocalyptic number.

40056400 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 40056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

40056400 is an abundant number, since it is smaller than the sum of its proper divisors (56812400).

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

40056400 is a wasteful number, since it uses less digits than its factorization.

40056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 40056400 is about 6329.0125612136. The cubic root of 40056400 is about 342.1558515867.

The spelling of 40056400 in words is "forty million, fifty-six thousand, four hundred".