4712679014400 has 2448 divisors, whose sum is σ = 21297674361600. Its totient is φ = 1009023713280.

The previous prime is 4712679014399. The next prime is 4712679014411. The reversal of 4712679014400 is 44109762174.

4712679014400 is a `hidden beast` number, since 47 + 126 + 79 + 0 + 14 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52951449556 + ... + 52951449644.

Almost surely, 2^{4712679014400} is an apocalyptic number.

4712679014400 is a gapful number since it is divisible by the number (40) 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 4712679014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648837180800).

4712679014400 is an abundant number, since it is smaller than the sum of its proper divisors (16584995347200).

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

4712679014400 is an frugal number, since it uses more digits than its factorization.

4712679014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4712679014400 in words is "four trillion, seven hundred twelve billion, six hundred seventy-nine million, fourteen thousand, four hundred".