40013814400 has 96 divisors (see below), whose sum is σ = 112967635680. Its totient is φ = 13719014400.

The previous prime is 40013814377. The next prime is 40013814409. The reversal of 40013814400 is 441831004.

It is a super-2 number, since 2×40013814400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40013814409) by changing a digit.

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, 870766 + ... + 915565.

It is an arithmetic number, because the mean of its divisors is an integer number (1176746205).

Almost surely, 2^40013814400 is an apocalyptic number.

40013814400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40013814400 is an abundant number, since it is smaller than the sum of its proper divisors (72953821280).

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

40013814400 is a wasteful number, since it uses less digits than its factorization.

40013814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786362 (or 1786345 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 40013814400 in words is "forty billion, thirteen million, eight hundred fourteen thousand, four hundred".