1314404011024 has 80 divisors (see below), whose sum is σ = 2778343563520. Its totient is φ = 598737484800.

The previous prime is 1314404011007. The next prime is 1314404011027. The reversal of 1314404011024 is 4201104044131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314404011024.

It is not an unprimeable number, because it can be changed into a prime (1314404011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46833604 + ... + 46861660.

It is an arithmetic number, because the mean of its divisors is an integer number (34729294544).

Almost surely, 2^{1314404011024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314404011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389171781760).

1314404011024 is an abundant number, since it is smaller than the sum of its proper divisors (1463939552496).

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

1314404011024 is a wasteful number, since it uses less digits than its factorization.

1314404011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 31002 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1314404011024 its reverse (4201104044131), we get a palindrome (5515508055155).

The spelling of 1314404011024 in words is "one trillion, three hundred fourteen billion, four hundred four million, eleven thousand, twenty-four".