479796285669120 has 1152 divisors, whose sum is σ = 1965380839833600. Its totient is φ = 108567852761088.

The previous prime is 479796285669079. The next prime is 479796285669137. The reversal of 479796285669120 is 21966582697974.

It is a happy number.

479796285669120 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 9 + 6 + 28 + 566 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×479796285669120² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 479796285669120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43151022921 + ... + 43151034039.

It is an arithmetic number, because the mean of its divisors is an integer number (1706059756800).

Almost surely, 2^{479796285669120} is an apocalyptic number.

479796285669120 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 479796285669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982690419916800).

479796285669120 is an abundant number, since it is smaller than the sum of its proper divisors (1485584554164480).

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

479796285669120 is a wasteful number, since it uses less digits than its factorization.

479796285669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 479796285669120 in words is "four hundred seventy-nine trillion, seven hundred ninety-six billion, two hundred eighty-five million, six hundred sixty-nine thousand, one hundred twenty".