414131421344 has 12 divisors (see below), whose sum is σ = 815321235834. Its totient is φ = 207065710656.

The previous prime is 414131421313. The next prime is 414131421377. The reversal of 414131421344 is 443124131414.

It can be written as a sum of positive squares in only one way, i.e., 351160537744 + 62970883600 = 592588^2 + 250940^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12941606917 = 414131421344 / (4 + 1 + 4 + 1 + 3 + 1 + 4 + 2 + 1 + 3 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 414131421344.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6470803427 + ... + 6470803490.

Almost surely, 2^414131421344 is an apocalyptic number.

It is an amenable number.

414131421344 is a deficient number, since it is larger than the sum of its proper divisors (401189814490).

414131421344 is a wasteful number, since it uses less digits than its factorization.

414131421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941606927 (or 12941606919 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 414131421344 its reverse (443124131414), we get a palindrome (857255552758).

The spelling of 414131421344 in words is "four hundred fourteen billion, one hundred thirty-one million, four hundred twenty-one thousand, three hundred forty-four".