477141541632 has 432 divisors, whose sum is σ = 1632252061440. Its totient is φ = 131157024768.

The previous prime is 477141541601. The next prime is 477141541663. The reversal of 477141541632 is 236145141774.

477141541632 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 4 + 1 + 5 + 4 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (477141541601) and next prime (477141541663).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143585923 + ... + 143589245.

Almost surely, 2^477141541632 is an apocalyptic number.

477141541632 is a gapful number since it is divisible by the number (42) 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 477141541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816126030720).

477141541632 is an abundant number, since it is smaller than the sum of its proper divisors (1155110519808).

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

477141541632 is a wasteful number, since it uses less digits than its factorization.

477141541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3671 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 477141541632 in words is "four hundred seventy-seven billion, one hundred forty-one million, five hundred forty-one thousand, six hundred thirty-two".