20004240400 has 60 divisors (see below), whose sum is σ = 48073805892. Its totient is φ = 7999429120.

The previous prime is 20004240371. The next prime is 20004240463. The reversal of 20004240400 is 404240002.

It can be written as a sum of positive squares in 6 ways, for example, as 721029904 + 19283210496 = 26852^2 + 138864^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2657442 + ... + 2664958.

Almost surely, 2^20004240400 is an apocalyptic number.

20004240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20004240400 is an abundant number, since it is smaller than the sum of its proper divisors (28069565492).

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

20004240400 is a wasteful number, since it uses less digits than its factorization.

20004240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20004240400 its reverse (404240002), we get a palindrome (20408480402).

The spelling of 20004240400 in words is "twenty billion, four million, two hundred forty thousand, four hundred".