414340403204 has 72 divisors (see below), whose sum is σ = 908505140760. Its totient is φ = 163888994304.

The previous prime is 414340403203. The next prime is 414340403251. The reversal of 414340403204 is 402304043414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 116117377600 + 298223025604 = 340760^2 + 546098^2 .

It is not an unprimeable number, because it can be changed into a prime (414340403201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28828532 + ... + 28842900.

It is an arithmetic number, because the mean of its divisors is an integer number (12618126955).

Almost surely, 2^414340403204 is an apocalyptic number.

It is an amenable number.

414340403204 is an abundant number, since it is smaller than the sum of its proper divisors (494164737556).

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

414340403204 is a wasteful number, since it uses less digits than its factorization.

414340403204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25717 (or 25708 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 414340403204 its reverse (402304043414), we get a palindrome (816644446618).

The spelling of 414340403204 in words is "four hundred fourteen billion, three hundred forty million, four hundred three thousand, two hundred four".