414031130414 has 96 divisors (see below), whose sum is σ = 704439590400. Its totient is φ = 180983577600.

The previous prime is 414031130411. The next prime is 414031130417.

It is a happy number.

414031130414 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (414031130411) and next prime (414031130417).

It is a super-2 number, since 2×414031130414² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031130411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1228578854 + ... + 1228579190.

It is an arithmetic number, because the mean of its divisors is an integer number (7337912400).

Almost surely, 2^414031130414 is an apocalyptic number.

414031130414 is a deficient number, since it is larger than the sum of its proper divisors (290408459986).

414031130414 is a wasteful number, since it uses less digits than its factorization.

414031130414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 769 counting only the distinct ones).

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

It can be divided in two parts, 414031 and 130414, that added together give a palindrome (544445).

The spelling of 414031130414 in words is "four hundred fourteen billion, thirty-one million, one hundred thirty thousand, four hundred fourteen".