1159427977344 has 576 divisors, whose sum is σ = 4204815615000. Its totient is φ = 305750495232.

The previous prime is 1159427977339. The next prime is 1159427977387. The reversal of 1159427977344 is 4437797249511.

It is a happy number.

1159427977344 is a `hidden beast` number, since 1 + 1 + 59 + 427 + 97 + 73 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179945640000 + 979482337344 = 424200^2 + 989688^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 124011582 + ... + 124020930.

Almost surely, 2^{1159427977344} is an apocalyptic number.

1159427977344 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 1159427977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102407807500).

1159427977344 is an abundant number, since it is smaller than the sum of its proper divisors (3045387637656).

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

1159427977344 is an equidigital number, since it uses as much as digits as its factorization.

1159427977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9374 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 1159427977344 in words is "one trillion, one hundred fifty-nine billion, four hundred twenty-seven million, nine hundred seventy-seven thousand, three hundred forty-four".