413353121353314 has 64 divisors (see below), whose sum is σ = 862917597983232. Its totient is φ = 131887705248000.

The previous prime is 413353121353313. The next prime is 413353121353343.

413353121353314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413353121353313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55190442 + ... + 62230949.

It is an arithmetic number, because the mean of its divisors is an integer number (13483087468488).

Almost surely, 2^{413353121353314} is an apocalyptic number.

413353121353314 is an abundant number, since it is smaller than the sum of its proper divisors (449564476629918).

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

413353121353314 is a wasteful number, since it uses less digits than its factorization.

413353121353314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117421691.

The product of its digits is 583200, while the sum is 42.

The spelling of 413353121353314 in words is "four hundred thirteen trillion, three hundred fifty-three billion, one hundred twenty-one million, three hundred fifty-three thousand, three hundred fourteen".