413034242233104 has 160 divisors (see below), whose sum is σ = 1210221292308480. Its totient is φ = 134840017872000.

The previous prime is 413034242233091. The next prime is 413034242233111. The reversal of 413034242233104 is 401332242430314.

413034242233104 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 3 + 424 + 223 + 3 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39958482 + ... + 49221425.

It is an arithmetic number, because the mean of its divisors is an integer number (7563883076928).

Almost surely, 2^{413034242233104} is an apocalyptic number.

It is an amenable number.

413034242233104 is an abundant number, since it is smaller than the sum of its proper divisors (797187050075376).

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

413034242233104 is a wasteful number, since it uses less digits than its factorization.

413034242233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89180146 (or 89180134 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 413034242233104 its reverse (401332242430314), we get a palindrome (814366484663418).

The spelling of 413034242233104 in words is "four hundred thirteen trillion, thirty-four billion, two hundred forty-two million, two hundred thirty-three thousand, one hundred four".