413040302412444 has 72 divisors (see below), whose sum is σ = 1201811911198080. Its totient is φ = 117162511260192.

The previous prime is 413040302412431. The next prime is 413040302412467. The reversal of 413040302412444 is 444214203040314.

413040302412444 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 403 + 0 + 2 + 4 + 1 + 244 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413040302412399 and 413040302412408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5895824034 + ... + 5895894089.

Almost surely, 2^{413040302412444} is an apocalyptic number.

It is an amenable number.

413040302412444 is an abundant number, since it is smaller than the sum of its proper divisors (788771608785636).

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

413040302412444 is a wasteful number, since it uses less digits than its factorization.

413040302412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791718279 (or 11791718274 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 413040302412444 its reverse (444214203040314), we get a palindrome (857254505452758).

The spelling of 413040302412444 in words is "four hundred thirteen trillion, forty billion, three hundred two million, four hundred twelve thousand, four hundred forty-four".