413233404402 has 128 divisors (see below), whose sum is σ = 1077932136960. Its totient is φ = 102659880960.

The previous prime is 413233404383. The next prime is 413233404421. The reversal of 413233404402 is 204404332314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413233404383) and next prime (413233404421).

It is a self number, because there is not a number n which added to its sum of digits gives 413233404402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330928 + ... + 967460.

It is an arithmetic number, because the mean of its divisors is an integer number (8421344820).

Almost surely, 2^413233404402 is an apocalyptic number.

413233404402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413233404402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538966068480).

413233404402 is an abundant number, since it is smaller than the sum of its proper divisors (664698732558).

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

413233404402 is a wasteful number, since it uses less digits than its factorization.

413233404402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636628.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 413233404402 its reverse (204404332314), we get a palindrome (617637736716).

The spelling of 413233404402 in words is "four hundred thirteen billion, two hundred thirty-three million, four hundred four thousand, four hundred two".