413726479920 has 1200 divisors, whose sum is σ = 1676038744512. Its totient is φ = 94197841920.

The previous prime is 413726479897. The next prime is 413726480023. The reversal of 413726479920 is 29974627314.

413726479920 is a `hidden beast` number, since 4 + 13 + 72 + 6 + 479 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1321809684 + ... + 1321809996.

Almost surely, 2^413726479920 is an apocalyptic number.

413726479920 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 413726479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838019372256).

413726479920 is an abundant number, since it is smaller than the sum of its proper divisors (1262312264592).

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

413726479920 is a wasteful number, since it uses less digits than its factorization.

413726479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 413726479920 in words is "four hundred thirteen billion, seven hundred twenty-six million, four hundred seventy-nine thousand, nine hundred twenty".