479424552192000 has 3456 divisors, whose sum is σ = 1922199261091200. Its totient is φ = 118997434368000.

The previous prime is 479424552191983. The next prime is 479424552192007. The reversal of 479424552192000 is 291255424974.

479424552192000 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 24 + 5 + 521 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (479424552192007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2648754431910 + ... + 2648754432090.

It is an arithmetic number, because the mean of its divisors is an integer number (556191915825).

Almost surely, 2^{479424552192000} is an apocalyptic number.

479424552192000 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 479424552192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961099630545600).

479424552192000 is an abundant number, since it is smaller than the sum of its proper divisors (1442774708899200).

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

479424552192000 is an frugal number, since it uses more digits than its factorization.

479424552192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 479424552192000 in words is "four hundred seventy-nine trillion, four hundred twenty-four billion, five hundred fifty-two million, one hundred ninety-two thousand".