413326623744 has 220 divisors, whose sum is σ = 1239413859024. Its totient is φ = 137768822784.

The previous prime is 413326623707. The next prime is 413326623757. The reversal of 413326623744 is 447326623314.

413326623744 is a `hidden beast` number, since 4 + 13 + 3 + 2 + 6 + 623 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×413326623744² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413326623744.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20145139 + ... + 20165645.

Almost surely, 2^413326623744 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 413326623744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619706929512).

413326623744 is an abundant number, since it is smaller than the sum of its proper divisors (826087235280).

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

413326623744 is an frugal number, since it uses more digits than its factorization.

413326623744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20554 (or 20512 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 413326623744 in words is "four hundred thirteen billion, three hundred twenty-six million, six hundred twenty-three thousand, seven hundred forty-four".