10044814928400 has 720 divisors, whose sum is σ = 40193710910080. Its totient is φ = 2275518873600.

The previous prime is 10044814928377. The next prime is 10044814928413. The reversal of 10044814928400 is 482941844001.

10044814928400 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 81 + 492 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2357382270 + ... + 2357386530.

Almost surely, 2^{10044814928400} is an apocalyptic number.

10044814928400 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 10044814928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096855455040).

10044814928400 is an abundant number, since it is smaller than the sum of its proper divisors (30148895981680).

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

10044814928400 is a wasteful number, since it uses less digits than its factorization.

10044814928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10044814928400 in words is "ten trillion, forty-four billion, eight hundred fourteen million, nine hundred twenty-eight thousand, four hundred".