479241851961600 has 11664 divisors, whose sum is σ = 2507929043518080. Its totient is φ = 89393194598400.

The previous prime is 479241851961583. The next prime is 479241851961601. The reversal of 479241851961600 is 6169158142974.

479241851961600 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 4 + 1 + 8 + 5 + 1 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11664).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (479241851961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 11688825657580 + ... + 11688825657620.

Almost surely, 2^{479241851961600} is an apocalyptic number.

479241851961600 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 479241851961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253964521759040).

479241851961600 is an abundant number, since it is smaller than the sum of its proper divisors (2028687191556480).

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

479241851961600 is a wasteful number, since it uses less digits than its factorization.

479241851961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 479241851961600 in words is "four hundred seventy-nine trillion, two hundred forty-one billion, eight hundred fifty-one million, nine hundred sixty-one thousand, six hundred".