40086400 has 48 divisors (see below), whose sum is σ = 99033840. Its totient is φ = 16033280.

The previous prime is 40086383. The next prime is 40086419. The reversal of 40086400 is 468004.

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 5 ways as a sum of consecutive naturals, for example, 3064 + ... + 9463.

It is an arithmetic number, because the mean of its divisors is an integer number (2063205).

Almost surely, 2^40086400 is an apocalyptic number.

40086400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40086400 is an abundant number, since it is smaller than the sum of its proper divisors (58947440).

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

40086400 is a wasteful number, since it uses less digits than its factorization.

40086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40086400 is about 6331.3821555802. The cubic root of 40086400 is about 342.2412487938.

The spelling of 40086400 in words is "forty million, eighty-six thousand, four hundred".