476404510401216 has 168 divisors, whose sum is σ = 1437982007342400. Its totient is φ = 150382340328960.

The previous prime is 476404510401179. The next prime is 476404510401257. The reversal of 476404510401216 is 612104015404674.

476404510401216 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 0 + 4 + 510 + 4 + 0 + 121 + 6 = 666.

It is a super-2 number, since 2×476404510401216² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18059911 + ... + 35762681.

Almost surely, 2^{476404510401216} 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 476404510401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718991003671200).

476404510401216 is an abundant number, since it is smaller than the sum of its proper divisors (961577496941184).

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

476404510401216 is a wasteful number, since it uses less digits than its factorization.

476404510401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17705267 (or 17705254 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 476404510401216 in words is "four hundred seventy-six trillion, four hundred four billion, five hundred ten million, four hundred one thousand, two hundred sixteen".