1331379916440 has 256 divisors, whose sum is σ = 4714405355520. Its totient is φ = 294347243520.

The previous prime is 1331379916417. The next prime is 1331379916463. The reversal of 1331379916440 is 446199731331.

It is an interprime number because it is at equal distance from previous prime (1331379916417) and next prime (1331379916463).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55010422 + ... + 55034618.

It is an arithmetic number, because the mean of its divisors is an integer number (18415645920).

Almost surely, 2^{1331379916440} is an apocalyptic number.

1331379916440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331379916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357202677760).

1331379916440 is an abundant number, since it is smaller than the sum of its proper divisors (3383025439080).

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

1331379916440 is a wasteful number, since it uses less digits than its factorization.

1331379916440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26362 (or 26358 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 1331379916440 in words is "one trillion, three hundred thirty-one billion, three hundred seventy-nine million, nine hundred sixteen thousand, four hundred forty".