476407643040 has 864 divisors, whose sum is σ = 2029074727680. Its totient is φ = 105126045696.

The previous prime is 476407643039. The next prime is 476407643077. The reversal of 476407643040 is 40346704674.

476407643040 is a `hidden beast` number, since 4 + 76 + 40 + 76 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55244169 + ... + 55252791.

It is an arithmetic number, because the mean of its divisors is an integer number (2348466120).

Almost surely, 2^476407643040 is an apocalyptic number.

476407643040 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 476407643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014537363840).

476407643040 is an abundant number, since it is smaller than the sum of its proper divisors (1552667084640).

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

476407643040 is a wasteful number, since it uses less digits than its factorization.

476407643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 476407643040 in words is "four hundred seventy-six billion, four hundred seven million, six hundred forty-three thousand, forty".