413140041314 has 64 divisors (see below), whose sum is σ = 835724639232. Its totient is φ = 147927124800.

The previous prime is 413140041313. The next prime is 413140041371.

It is a happy number.

413140041314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (413140041313) 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, 92 + ... + 908999.

It is an arithmetic number, because the mean of its divisors is an integer number (13058197488).

Almost surely, 2^413140041314 is an apocalyptic number.

413140041314 is an abundant number, since it is smaller than the sum of its proper divisors (422584597918).

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

413140041314 is a wasteful number, since it uses less digits than its factorization.

413140041314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909351.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 4131400 and 41314, that multiplied together give a square (170684659600 = 413140²).

The spelling of 413140041314 in words is "four hundred thirteen billion, one hundred forty million, forty-one thousand, three hundred fourteen".