413974955520 has 1080 divisors, whose sum is σ = 1735287778224. Its totient is φ = 94434729984.

The previous prime is 413974955477. The next prime is 413974955551. The reversal of 413974955520 is 25559479314.

413974955520 is a `hidden beast` number, since 4 + 13 + 9 + 74 + 9 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 107 ways as a sum of consecutive naturals, for example, 823011589 + ... + 823012091.

Almost surely, 2^413974955520 is an apocalyptic number.

413974955520 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 413974955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867643889112).

413974955520 is an abundant number, since it is smaller than the sum of its proper divisors (1321312822704).

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

413974955520 is an frugal number, since it uses more digits than its factorization.

413974955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 413974955520 in words is "four hundred thirteen billion, nine hundred seventy-four million, nine hundred fifty-five thousand, five hundred twenty".