413344410000 has 100 divisors (see below), whose sum is σ = 1334330964912. Its totient is φ = 110225168000.

The previous prime is 413344409941. The next prime is 413344410053. The reversal of 413344410000 is 14443314.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6859074 + ... + 6919073.

Almost surely, 2^413344410000 is an apocalyptic number.

413344410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413344410000 is an abundant number, since it is smaller than the sum of its proper divisors (920986554912).

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

413344410000 is a wasteful number, since it uses less digits than its factorization.

413344410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778178 (or 13778157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413344410000 its reverse (14443314), we get a palindrome (413358853314).

The spelling of 413344410000 in words is "four hundred thirteen billion, three hundred forty-four million, four hundred ten thousand".