20004494400 has 1008 divisors, whose sum is σ = 82941566400. Its totient is φ = 4683571200.

The previous prime is 20004494399. The next prime is 20004494449. The reversal of 20004494400 is 449440002.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 224769556 + ... + 224769644.

It is an arithmetic number, because the mean of its divisors is an integer number (82283300).

Almost surely, 2^20004494400 is an apocalyptic number.

20004494400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41470783200).

20004494400 is an abundant number, since it is smaller than the sum of its proper divisors (62937072000).

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

20004494400 is a wasteful number, since it uses less digits than its factorization.

20004494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20004494400 in words is "twenty billion, four million, four hundred ninety-four thousand, four hundred".