20420204420400 has 120 divisors (see below), whose sum is σ = 68256752954880. Its totient is φ = 5208631845120.

The previous prime is 20420204420383. The next prime is 20420204420411. The reversal of 20420204420400 is 402440202402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369903640 + ... + 369958839.

It is an arithmetic number, because the mean of its divisors is an integer number (568806274624).

Almost surely, 2^{20420204420400} is an apocalyptic number.

20420204420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420204420400 is an abundant number, since it is smaller than the sum of its proper divisors (47836548534480).

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

20420204420400 is a wasteful number, since it uses less digits than its factorization.

20420204420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739862523 (or 739862512 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20420204420400 its reverse (402440202402), we get a palindrome (20822644622802).

The spelling of 20420204420400 in words is "twenty trillion, four hundred twenty billion, two hundred four million, four hundred twenty thousand, four hundred".