413244004432400 has 60 divisors (see below), whose sum is σ = 992823045928212. Its totient is φ = 165296881643520.

The previous prime is 413244004432351. The next prime is 413244004432421. The reversal of 413244004432400 is 4234400442314.

It can be written as a sum of positive squares in 6 ways, for example, as 171401197152784 + 241842807279616 = 13092028^2 + 15551296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94917704 + ... + 99175896.

Almost surely, 2^{413244004432400} is an apocalyptic number.

413244004432400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413244004432400 is an abundant number, since it is smaller than the sum of its proper divisors (579579041495812).

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

413244004432400 is a wasteful number, since it uses less digits than its factorization.

413244004432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500828 (or 4500817 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 413244004432400 its reverse (4234400442314), we get a palindrome (417478404874714).

The spelling of 413244004432400 in words is "four hundred thirteen trillion, two hundred forty-four billion, four million, four hundred thirty-two thousand, four hundred".