413079353891100 has 1728 divisors, whose sum is σ = 1509238602547200. Its totient is φ = 96763051008000.

The previous prime is 413079353891027. The next prime is 413079353891123. The reversal of 413079353891100 is 1198353970314.

413079353891100 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 9 + 3 + 538 + 91 + 10 + 0 = 666.

It is a super-2 number, since 2×413079353891100² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 349770832510 + ... + 349770833690.

Almost surely, 2^{413079353891100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413079353891100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754619301273600).

413079353891100 is an abundant number, since it is smaller than the sum of its proper divisors (1096159248656100).

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

413079353891100 is a wasteful number, since it uses less digits than its factorization.

413079353891100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 413079353891100 in words is "four hundred thirteen trillion, seventy-nine billion, three hundred fifty-three million, eight hundred ninety-one thousand, one hundred".