475991809413120 has 8320 divisors, whose sum is σ = 2433757074997248. Its totient is φ = 86481740759040.

The previous prime is 475991809413053. The next prime is 475991809413121. The reversal of 475991809413120 is 21314908199574.

475991809413120 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 91 + 8 + 0 + 9 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (8320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475991809413121) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4621279702989 + ... + 4621279703091.

Almost surely, 2^{475991809413120} is an apocalyptic number.

475991809413120 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 475991809413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216878537498624).

475991809413120 is an abundant number, since it is smaller than the sum of its proper divisors (1957765265584128).

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

475991809413120 is a wasteful number, since it uses less digits than its factorization.

475991809413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 475991809413120 in words is "four hundred seventy-five trillion, nine hundred ninety-one billion, eight hundred nine million, four hundred thirteen thousand, one hundred twenty".