476888154107040 has 1152 divisors, whose sum is σ = 1810971154137600. Its totient is φ = 113515956043776.

The previous prime is 476888154106963. The next prime is 476888154107047. The reversal of 476888154107040 is 40701451888674.

476888154107040 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 8 + 81 + 541 + 0 + 7 + 0 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (476888154107047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204409837714 + ... + 204409840046.

It is an arithmetic number, because the mean of its divisors is an integer number (1572023571300).

Almost surely, 2^{476888154107040} is an apocalyptic number.

476888154107040 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 476888154107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905485577068800).

476888154107040 is an abundant number, since it is smaller than the sum of its proper divisors (1334083000030560).

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

476888154107040 is a wasteful number, since it uses less digits than its factorization.

476888154107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 476888154107040 in words is "four hundred seventy-six trillion, eight hundred eighty-eight billion, one hundred fifty-four million, one hundred seven thousand, forty".