413004032320 has 112 divisors (see below), whose sum is σ = 1107480900096. Its totient is φ = 145338624000.

The previous prime is 413004032303. The next prime is 413004032323. The reversal of 413004032320 is 23230400314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 413004032291 and 413004032300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004032323) 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, 1783311 + ... + 2001550.

Almost surely, 2^413004032320 is an apocalyptic number.

413004032320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413004032320 is an abundant number, since it is smaller than the sum of its proper divisors (694476867776).

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

413004032320 is a wasteful number, since it uses less digits than its factorization.

413004032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784920 (or 3784910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 413004032320 its reverse (23230400314), we get a palindrome (436234432634).

The spelling of 413004032320 in words is "four hundred thirteen billion, four million, thirty-two thousand, three hundred twenty".