413322032234240 has 144 divisors (see below), whose sum is σ = 1008760495571136. Its totient is φ = 162202140672000.

The previous prime is 413322032234239. The next prime is 413322032234273. The reversal of 413322032234240 is 42432230223314.

It is a self number, because there is not a number n which added to its sum of digits gives 413322032234240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665415760 + ... + 1665663920.

It is an arithmetic number, because the mean of its divisors is an integer number (7005281219244).

Almost surely, 2^{413322032234240} is an apocalyptic number.

413322032234240 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 413322032234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504380247785568).

413322032234240 is an abundant number, since it is smaller than the sum of its proper divisors (595438463336896).

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

413322032234240 is a wasteful number, since it uses less digits than its factorization.

413322032234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272786 (or 272772 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 413322032234240 its reverse (42432230223314), we get a palindrome (455754262457554).

The spelling of 413322032234240 in words is "four hundred thirteen trillion, three hundred twenty-two billion, thirty-two million, two hundred thirty-four thousand, two hundred forty".