477909474261120 has 2048 divisors, whose sum is σ = 1967302811980800. Its totient is φ = 108362795581440.

The previous prime is 477909474261113. The next prime is 477909474261199. The reversal of 477909474261120 is 21162474909774.

477909474261120 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 0 + 9 + 4 + 7 + 4 + 2 + 611 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 618252877054 + ... + 618252877826.

Almost surely, 2^{477909474261120} is an apocalyptic number.

477909474261120 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 477909474261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983651405990400).

477909474261120 is an abundant number, since it is smaller than the sum of its proper divisors (1489393337719680).

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

477909474261120 is a wasteful number, since it uses less digits than its factorization.

477909474261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 477909474261120 in words is "four hundred seventy-seven trillion, nine hundred nine billion, four hundred seventy-four million, two hundred sixty-one thousand, one hundred twenty".