20444612400 has 360 divisors, whose sum is σ = 72401032704. Its totient is φ = 5341593600.

The previous prime is 20444612381. The next prime is 20444612401. The reversal of 20444612400 is 421644402.

It is a happy number.

20444612400 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 4 + 612 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (20444612401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44348170 + ... + 44348630.

Almost surely, 2^20444612400 is an apocalyptic number.

20444612400 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 20444612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200516352).

20444612400 is an abundant number, since it is smaller than the sum of its proper divisors (51956420304).

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

20444612400 is a wasteful number, since it uses less digits than its factorization.

20444612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

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

The spelling of 20444612400 in words is "twenty billion, four hundred forty-four million, six hundred twelve thousand, four hundred".