48444928124400 has 300 divisors, whose sum is σ = 181424308337712. Its totient is φ = 12356966983680.

The previous prime is 48444928124389. The next prime is 48444928124413. The reversal of 48444928124400 is 442182944484.

48444928124400 is a `hidden beast` number, since 4 + 84 + 4 + 49 + 2 + 81 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×48444928124400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 31759449 + ... + 33249848.

Almost surely, 2^{48444928124400} is an apocalyptic number.

48444928124400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48444928124400 is an abundant number, since it is smaller than the sum of its proper divisors (132979380213312).

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

48444928124400 is a wasteful number, since it uses less digits than its factorization.

48444928124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65009350 (or 65009330 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 48444928124400 in words is "forty-eight trillion, four hundred forty-four billion, nine hundred twenty-eight million, one hundred twenty-four thousand, four hundred".