413641922500 has 135 divisors (see below), whose sum is σ = 956078073489. Its totient is φ = 156516984000.

The previous prime is 413641922483. The next prime is 413641922563. The reversal of 413641922500 is 5229146314.

It is a happy number.

The square root of 413641922500 is 643150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 51517196676 + 362124725824 = 226974^2 + 601768^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413641922500.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 610992162 + ... + 610992838.

Almost surely, 2^413641922500 is an apocalyptic number.

413641922500 is the 643150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413641922500

413641922500 is an abundant number, since it is smaller than the sum of its proper divisors (542436150989).

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

413641922500 is an frugal number, since it uses more digits than its factorization.

413641922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 413641922500 in words is "four hundred thirteen billion, six hundred forty-one million, nine hundred twenty-two thousand, five hundred".