20314042400 has 36 divisors (see below), whose sum is σ = 49591657962. Its totient is φ = 8125616640.

The previous prime is 20314042387. The next prime is 20314042459. The reversal of 20314042400 is 424041302.

It can be written as a sum of positive squares in 3 ways, for example, as 14653586704 + 5660455696 = 121052^2 + 75236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12695477 + ... + 12697076.

Almost surely, 2^20314042400 is an apocalyptic number.

20314042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314042400 is an abundant number, since it is smaller than the sum of its proper divisors (29277615562).

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

20314042400 is a wasteful number, since it uses less digits than its factorization.

20314042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25392573 (or 25392560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20314042400 its reverse (424041302), we get a palindrome (20738083702).

The spelling of 20314042400 in words is "twenty billion, three hundred fourteen million, forty-two thousand, four hundred".