413152262251314 has 24 divisors (see below), whose sum is σ = 846949848752400. Its totient is φ = 134358459265440.

The previous prime is 413152262251301. The next prime is 413152262251429.

413152262251314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20481462364 + ... + 20481482535.

It is an arithmetic number, because the mean of its divisors is an integer number (35289577031350).

Almost surely, 2^{413152262251314} is an apocalyptic number.

413152262251314 is an abundant number, since it is smaller than the sum of its proper divisors (433797586501086).

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

413152262251314 is a wasteful number, since it uses less digits than its factorization.

413152262251314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40962944986 (or 40962944945 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 413152262251314 in words is "four hundred thirteen trillion, one hundred fifty-two billion, two hundred sixty-two million, two hundred fifty-one thousand, three hundred fourteen".