479234864448000 has 3840 divisors, whose sum is σ = 1942796490066432. Its totient is φ = 117315993600000.

The previous prime is 479234864447929. The next prime is 479234864448019. The reversal of 479234864448000 is 844468432974.

479234864448000 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 34 + 86 + 44 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3498064703932 + ... + 3498064704068.

Almost surely, 2^{479234864448000} is an apocalyptic number.

479234864448000 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 479234864448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971398245033216).

479234864448000 is an abundant number, since it is smaller than the sum of its proper divisors (1463561625618432).

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

479234864448000 is a wasteful number, since it uses less digits than its factorization.

479234864448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 479234864448000 in words is "four hundred seventy-nine trillion, two hundred thirty-four billion, eight hundred sixty-four million, four hundred forty-eight thousand".