471261815700480 has 2112 divisors, whose sum is σ = 2057397633331200. Its totient is φ = 101716947763200.

The previous prime is 471261815700479. The next prime is 471261815700523. The reversal of 471261815700480 is 84007518162174.

It is a happy number.

471261815700480 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 6 + 1 + 8 + 157 + 0 + 0 + 480 = 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 191 ways as a sum of consecutive naturals, for example, 40798350705 + ... + 40798362255.

Almost surely, 2^{471261815700480} is an apocalyptic number.

471261815700480 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 471261815700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028698816665600).

471261815700480 is an abundant number, since it is smaller than the sum of its proper divisors (1586135817630720).

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

471261815700480 is a wasteful number, since it uses less digits than its factorization.

471261815700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11935 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 471261815700480 in words is "four hundred seventy-one trillion, two hundred sixty-one billion, eight hundred fifteen million, seven hundred thousand, four hundred eighty".