477118104952320 has 1600 divisors, whose sum is σ = 1866542648249664. Its totient is φ = 115778463989760.

The previous prime is 477118104952309. The next prime is 477118104952381. The reversal of 477118104952320 is 23259401811774.

It is a happy number.

477118104952320 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 1 + 8 + 104 + 9 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116569288194 + ... + 116569292286.

Almost surely, 2^{477118104952320} is an apocalyptic number.

477118104952320 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 477118104952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933271324124832).

477118104952320 is an abundant number, since it is smaller than the sum of its proper divisors (1389424543297344).

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

477118104952320 is a wasteful number, since it uses less digits than its factorization.

477118104952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 477118104952320 in words is "four hundred seventy-seven trillion, one hundred eighteen billion, one hundred four million, nine hundred fifty-two thousand, three hundred twenty".