20044382400 has 504 divisors, whose sum is σ = 84239831520. Its totient is φ = 4422942720.

The previous prime is 20044382399. The next prime is 20044382431. The reversal of 20044382400 is 428344002.

It is a happy number.

20044382400 is a `hidden beast` number, since 200 + 4 + 438 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 2919772 + ... + 2926628.

Almost surely, 2^20044382400 is an apocalyptic number.

20044382400 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 20044382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42119915760).

20044382400 is an abundant number, since it is smaller than the sum of its proper divisors (64195449120).

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

20044382400 is a wasteful number, since it uses less digits than its factorization.

20044382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 20044382400 in words is "twenty billion, forty-four million, three hundred eighty-two thousand, four hundred".