202400400020 has 96 divisors (see below), whose sum is σ = 529749427200. Its totient is φ = 63245505024.

The previous prime is 202400400019. The next prime is 202400400029. The reversal of 202400400020 is 20004004202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202400399968 and 202400400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202400400029) 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 31 ways as a sum of consecutive naturals, for example, 560075 + ... + 847634.

It is an arithmetic number, because the mean of its divisors is an integer number (5518223200).

Almost surely, 2^202400400020 is an apocalyptic number.

202400400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202400400020 is an abundant number, since it is smaller than the sum of its proper divisors (327349027180).

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

202400400020 is a wasteful number, since it uses less digits than its factorization.

202400400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407817 (or 1407815 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 202400400020 its reverse (20004004202), we get a palindrome (222404404222).

The spelling of 202400400020 in words is "two hundred two billion, four hundred million, four hundred thousand, twenty".