10044518400 has 780 divisors, whose sum is σ = 42768421872. Its totient is φ = 2282618880.

The previous prime is 10044518383. The next prime is 10044518417. The reversal of 10044518400 is 481544001.

It is a happy number.

10044518400 is a `hidden beast` number, since 100 + 4 + 4 + 518 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10044518383) and next prime (10044518417).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58060714 + ... + 58060886.

Almost surely, 2^10044518400 is an apocalyptic number.

10044518400 is a gapful number since it is divisible by the number (10) 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 10044518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384210936).

10044518400 is an abundant number, since it is smaller than the sum of its proper divisors (32723903472).

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

10044518400 is an equidigital number, since it uses as much as digits as its factorization.

10044518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10044518400 in words is "ten billion, forty-four million, five hundred eighteen thousand, four hundred".