415032304400 has 120 divisors (see below), whose sum is σ = 1189106404224. Its totient is φ = 136109952000.

The previous prime is 415032304397. The next prime is 415032304403. The reversal of 415032304400 is 4403230514.

It is an interprime number because it is at equal distance from previous prime (415032304397) and next prime (415032304403).

It is a self number, because there is not a number n which added to its sum of digits gives 415032304400.

It is not an unprimeable number, because it can be changed into a prime (415032304403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157901 + ... + 3286700.

Almost surely, 2^415032304400 is an apocalyptic number.

415032304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415032304400 is an abundant number, since it is smaller than the sum of its proper divisors (774074099824).

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

415032304400 is a wasteful number, since it uses less digits than its factorization.

415032304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444649 (or 6444638 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 415032304400 its reverse (4403230514), we get a palindrome (419435534914).

The spelling of 415032304400 in words is "four hundred fifteen billion, thirty-two million, three hundred four thousand, four hundred".