476140815937920 has 512 divisors, whose sum is σ = 1747344186132480. Its totient is φ = 108028508110848.

The previous prime is 476140815937909. The next prime is 476140815937937. The reversal of 476140815937920 is 29739518041674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074093864 + ... + 2074323416.

It is an arithmetic number, because the mean of its divisors is an integer number (3412781613540).

It is a 2-persistent number, because it is pandigital, and so is 2⋅476140815937920 = 952281631875840, but 3⋅476140815937920 = 1428422447813760 is not.

Almost surely, 2^{476140815937920} is an apocalyptic number.

476140815937920 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 476140815937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873672093066240).

476140815937920 is an abundant number, since it is smaller than the sum of its proper divisors (1271203370194560).

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

476140815937920 is a wasteful number, since it uses less digits than its factorization.

476140815937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230722 (or 230710 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 476140815937920 in words is "four hundred seventy-six trillion, one hundred forty billion, eight hundred fifteen million, nine hundred thirty-seven thousand, nine hundred twenty".