413446980360960 has 4032 divisors, whose sum is σ = 1899757451289600. Its totient is φ = 83812892147712.

The previous prime is 413446980360949. The next prime is 413446980360979. The reversal of 413446980360960 is 69063089644314.

413446980360960 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 469 + 80 + 3 + 6 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 933288894499 + ... + 933288894941.

It is an arithmetic number, because the mean of its divisors is an integer number (471170002800).

Almost surely, 2^{413446980360960} is an apocalyptic number.

413446980360960 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 413446980360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949878725644800).

413446980360960 is an abundant number, since it is smaller than the sum of its proper divisors (1486310470928640).

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

413446980360960 is a wasteful number, since it uses less digits than its factorization.

413446980360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 413446980360960 in words is "four hundred thirteen trillion, four hundred forty-six billion, nine hundred eighty million, three hundred sixty thousand, nine hundred sixty".