1304444140431 has 32 divisors (see below), whose sum is σ = 1784963755008. Its totient is φ = 847060314240.

The previous prime is 1304444140427. The next prime is 1304444140451. The reversal of 1304444140431 is 1340414444031.

It is not a de Polignac number, because 1304444140431 - 2² = 1304444140427 is a prime.

It is a super-2 number, since 2×1304444140431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304444140392 and 1304444140401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304444140411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59182345 + ... + 59204381.

It is an arithmetic number, because the mean of its divisors is an integer number (55780117344).

Almost surely, 2^{1304444140431} is an apocalyptic number.

1304444140431 is a deficient number, since it is larger than the sum of its proper divisors (480519614577).

1304444140431 is a wasteful number, since it uses less digits than its factorization.

1304444140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25231.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1304444140431 its reverse (1340414444031), we get a palindrome (2644858584462).

The spelling of 1304444140431 in words is "one trillion, three hundred four billion, four hundred forty-four million, one hundred forty thousand, four hundred thirty-one".