1379344966272 has 1536 divisors, whose sum is σ = 5389203456000. Its totient is φ = 328458240000.

The previous prime is 1379344966229. The next prime is 1379344966309. The reversal of 1379344966272 is 2726694439731.

It is a happy number.

1379344966272 is a `hidden beast` number, since 1 + 3 + 79 + 3 + 4 + 496 + 6 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5495398147 + ... + 5495398397.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596000).

Almost surely, 2^{1379344966272} is an apocalyptic number.

1379344966272 is a gapful number since it is divisible by the number (12) 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 1379344966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694601728000).

1379344966272 is an abundant number, since it is smaller than the sum of its proper divisors (4009858489728).

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

1379344966272 is a wasteful number, since it uses less digits than its factorization.

1379344966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 1379344966272 in words is "one trillion, three hundred seventy-nine billion, three hundred forty-four million, nine hundred sixty-six thousand, two hundred seventy-two".