413342566640 has 160 divisors (see below), whose sum is σ = 993115632960. Its totient is φ = 159874670592.

The previous prime is 413342566627. The next prime is 413342566649. The reversal of 413342566640 is 46665243314.

It is a junction number, because it is equal to n+sod(n) for n = 413342566591 and 413342566600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413342566649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610549982 + ... + 610550658.

It is an arithmetic number, because the mean of its divisors is an integer number (6206972706).

Almost surely, 2^413342566640 is an apocalyptic number.

413342566640 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 413342566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496557816480).

413342566640 is an abundant number, since it is smaller than the sum of its proper divisors (579773066320).

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

413342566640 is a wasteful number, since it uses less digits than its factorization.

413342566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 413342566640 in words is "four hundred thirteen billion, three hundred forty-two million, five hundred sixty-six thousand, six hundred forty".