479133398016 has 1320 divisors, whose sum is σ = 1871087042880. Its totient is φ = 119248257024.

The previous prime is 479133397973. The next prime is 479133398017. The reversal of 479133398016 is 610893331974.

It is a happy number.

479133398016 is a `hidden beast` number, since 479 + 133 + 39 + 8 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479133398017) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1864332160 + ... + 1864332416.

It is an arithmetic number, because the mean of its divisors is an integer number (1417490184).

Almost surely, 2^479133398016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479133398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935543521440).

479133398016 is an abundant number, since it is smaller than the sum of its proper divisors (1391953644864).

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

479133398016 is a wasteful number, since it uses less digits than its factorization.

479133398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 479133398016 in words is "four hundred seventy-nine billion, one hundred thirty-three million, three hundred ninety-eight thousand, sixteen".