413264381376 has 112 divisors (see below), whose sum is σ = 1363235800320. Its totient is φ = 107341393920.

The previous prime is 413264381359. The next prime is 413264381377. The reversal of 413264381376 is 673183462314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413264381377) 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, 13961961 + ... + 13991528.

Almost surely, 2^413264381376 is an apocalyptic number.

It is an amenable number.

413264381376 is an abundant number, since it is smaller than the sum of its proper divisors (949971418944).

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

413264381376 is a wasteful number, since it uses less digits than its factorization.

413264381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27953522 (or 27953512 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 413264381376 in words is "four hundred thirteen billion, two hundred sixty-four million, three hundred eighty-one thousand, three hundred seventy-six".