476557751255040 has 9216 divisors, whose sum is σ = 2412252376934400. Its totient is φ = 88995891511296.

The previous prime is 476557751255039. The next prime is 476557751255071. The reversal of 476557751255040 is 40552157755674.

476557751255040 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 5 + 7 + 75 + 1 + 2 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11082738401259 + ... + 11082738401301.

It is an arithmetic number, because the mean of its divisors is an integer number (261746134650).

Almost surely, 2^{476557751255040} is an apocalyptic number.

476557751255040 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 476557751255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206126188467200).

476557751255040 is an abundant number, since it is smaller than the sum of its proper divisors (1935694625679360).

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

476557751255040 is a wasteful number, since it uses less digits than its factorization.

476557751255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 205800000, while the sum is 63.

The spelling of 476557751255040 in words is "four hundred seventy-six trillion, five hundred fifty-seven billion, seven hundred fifty-one million, two hundred fifty-five thousand, forty".