413360166912 has 768 divisors, whose sum is σ = 1471841280000. Its totient is φ = 99868999680.

The previous prime is 413360166889. The next prime is 413360166913. The reversal of 413360166912 is 219661063314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413360166913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828376839 + ... + 828377337.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460000).

Almost surely, 2^413360166912 is an apocalyptic number.

413360166912 is a gapful number since it is divisible by the number (42) 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 413360166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640000).

413360166912 is an abundant number, since it is smaller than the sum of its proper divisors (1058481113088).

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

413360166912 is a wasteful number, since it uses less digits than its factorization.

413360166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 413360166912 in words is "four hundred thirteen billion, three hundred sixty million, one hundred sixty-six thousand, nine hundred twelve".