471642330458880 has 3024 divisors, whose sum is σ = 2015136542829312. Its totient is φ = 103553029324800.

The previous prime is 471642330458821. The next prime is 471642330458909. The reversal of 471642330458880 is 88854033246174.

471642330458880 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 42 + 3 + 3 + 0 + 4 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1424901300315 + ... + 1424901300645.

It is an arithmetic number, because the mean of its divisors is an integer number (666381131888).

Almost surely, 2^{471642330458880} is an apocalyptic number.

471642330458880 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 471642330458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007568271414656).

471642330458880 is an abundant number, since it is smaller than the sum of its proper divisors (1543494212370432).

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

471642330458880 is an equidigital number, since it uses as much as digits as its factorization.

471642330458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 471642330458880 in words is "four hundred seventy-one trillion, six hundred forty-two billion, three hundred thirty million, four hundred fifty-eight thousand, eight hundred eighty".