476315151120 has 480 divisors, whose sum is σ = 1722426900480. Its totient is φ = 117601735680.

The previous prime is 476315151079. The next prime is 476315151133. The reversal of 476315151120 is 21151513674.

476315151120 is a `hidden beast` number, since 4 + 7 + 631 + 5 + 1 + 5 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×476315151120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 120067377 + ... + 120071343.

It is an arithmetic number, because the mean of its divisors is an integer number (3588389376).

Almost surely, 2^476315151120 is an apocalyptic number.

476315151120 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 476315151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861213450240).

476315151120 is an abundant number, since it is smaller than the sum of its proper divisors (1246111749360).

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

476315151120 is a wasteful number, since it uses less digits than its factorization.

476315151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 476315151120 its reverse (21151513674), we get a palindrome (497466664794).

The spelling of 476315151120 in words is "four hundred seventy-six billion, three hundred fifteen million, one hundred fifty-one thousand, one hundred twenty".