413044234320 has 80 divisors (see below), whose sum is σ = 1304596357632. Its totient is φ = 108066915840.

The previous prime is 413044234307. The next prime is 413044234321. The reversal of 413044234320 is 23432440314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413044234321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16223296 + ... + 16248735.

Almost surely, 2^413044234320 is an apocalyptic number.

413044234320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413044234320 is an abundant number, since it is smaller than the sum of its proper divisors (891552123312).

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

413044234320 is a wasteful number, since it uses less digits than its factorization.

413044234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32472100 (or 32472094 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 413044234320 its reverse (23432440314), we get a palindrome (436476674634).

The spelling of 413044234320 in words is "four hundred thirteen billion, forty-four million, two hundred thirty-four thousand, three hundred twenty".