4400870975424 has 672 divisors, whose sum is σ = 16452243244800. Its totient is φ = 1140714731520.

The previous prime is 4400870975377. The next prime is 4400870975453. The reversal of 4400870975424 is 4245790780044.

4400870975424 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 8 + 7 + 0 + 97 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 474073887 + ... + 474083169.

Almost surely, 2^{4400870975424} is an apocalyptic number.

4400870975424 is a gapful number since it is divisible by the number (44) 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 4400870975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226121622400).

4400870975424 is an abundant number, since it is smaller than the sum of its proper divisors (12051372269376).

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

4400870975424 is a wasteful number, since it uses less digits than its factorization.

4400870975424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 4400870975424 in words is "four trillion, four hundred billion, eight hundred seventy million, nine hundred seventy-five thousand, four hundred twenty-four".