1270136393344 has 128 divisors (see below), whose sum is σ = 3114889545600. Its totient is φ = 502372675584.

The previous prime is 1270136393341. The next prime is 1270136393363. The reversal of 1270136393344 is 4433936310721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1270136393344² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1270136393294 and 1270136393303.

It is not an unprimeable number, because it can be changed into a prime (1270136393341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96310719 + ... + 96323905.

It is an arithmetic number, because the mean of its divisors is an integer number (24335074575).

Almost surely, 2^{1270136393344} is an apocalyptic number.

1270136393344 is a gapful number since it is divisible by the number (14) 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 1270136393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557444772800).

1270136393344 is an abundant number, since it is smaller than the sum of its proper divisors (1844753152256).

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

1270136393344 is a wasteful number, since it uses less digits than its factorization.

1270136393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21490 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 1270136393344 in words is "one trillion, two hundred seventy billion, one hundred thirty-six million, three hundred ninety-three thousand, three hundred forty-four".