1256199379344 has 480 divisors, whose sum is σ = 4483361046528. Its totient is φ = 319406976000.

The previous prime is 1256199379339. The next prime is 1256199379361. The reversal of 1256199379344 is 4439739916521.

It is a happy number.

1256199379344 is a `hidden beast` number, since 1 + 2 + 5 + 619 + 9 + 3 + 7 + 9 + 3 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110080999 + ... + 110092409.

Almost surely, 2^{1256199379344} is an apocalyptic number.

1256199379344 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 1256199379344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241680523264).

1256199379344 is an abundant number, since it is smaller than the sum of its proper divisors (3227161667184).

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

1256199379344 is a wasteful number, since it uses less digits than its factorization.

1256199379344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 11738 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 1256199379344 in words is "one trillion, two hundred fifty-six billion, one hundred ninety-nine million, three hundred seventy-nine thousand, three hundred forty-four".