414004334244520 has 16 divisors (see below), whose sum is σ = 931509752050260. Its totient is φ = 165601733697792.

The previous prime is 414004334244511. The next prime is 414004334244539. The reversal of 414004334244520 is 25442433400414.

It can be written as a sum of positive squares in 2 ways, for example, as 403182063407236 + 10822270837284 = 20079394^2 + 3289722^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10350108356113 = 414004334244520 / (4 + 1 + 4 + 0 + 0 + 4 + 3 + 3 + 4 + 2 + 4 + 4 + 5 + 2 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5175054178017 + ... + 5175054178096.

Almost surely, 2^{414004334244520} is an apocalyptic number.

414004334244520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414004334244520 is an abundant number, since it is smaller than the sum of its proper divisors (517505417805740).

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

414004334244520 is a wasteful number, since it uses less digits than its factorization.

414004334244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350108356124 (or 10350108356120 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 414004334244520 its reverse (25442433400414), we get a palindrome (439446767644934).

The spelling of 414004334244520 in words is "four hundred fourteen trillion, four billion, three hundred thirty-four million, two hundred forty-four thousand, five hundred twenty".