413827728314 has 128 divisors (see below), whose sum is σ = 863391674880. Its totient is φ = 143495654400.

The previous prime is 413827728257. The next prime is 413827728319.

413827728314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413827728319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44874224 + ... + 44883444.

It is an arithmetic number, because the mean of its divisors is an integer number (6745247460).

Almost surely, 2^413827728314 is an apocalyptic number.

413827728314 is an abundant number, since it is smaller than the sum of its proper divisors (449563946566).

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

413827728314 is a wasteful number, since it uses less digits than its factorization.

413827728314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10056.

The product of its digits is 1806336, while the sum is 50.

The spelling of 413827728314 in words is "four hundred thirteen billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, three hundred fourteen".