20400004402020 has 36 divisors (see below), whose sum is σ = 61880013353340. Its totient is φ = 5440001173824.

The previous prime is 20400004401943. The next prime is 20400004402049. The reversal of 20400004402020 is 2020440000402.

20400004402020 is a `hidden beast` number, since 20 + 4 + 0 + 0 + 0 + 0 + 440 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9561305042496 + 10838699359524 = 3092136^2 + 3292218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20400004401984 and 20400004402002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56666678715 + ... + 56666679074.

It is an arithmetic number, because the mean of its divisors is an integer number (1718889259815).

Almost surely, 2^{20400004402020} is an apocalyptic number.

20400004402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400004402020 is an abundant number, since it is smaller than the sum of its proper divisors (41480008951320).

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

20400004402020 is a wasteful number, since it uses less digits than its factorization.

20400004402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113333357804 (or 113333357799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20400004402020 its reverse (2020440000402), we get a palindrome (22420444402422).

The spelling of 20400004402020 in words is "twenty trillion, four hundred billion, four million, four hundred two thousand, twenty".