1127379419136 has 270 divisors, whose sum is σ = 3373320577172. Its totient is φ = 362794844160.

The previous prime is 1127379419099. The next prime is 1127379419137. The reversal of 1127379419136 is 6319149737211.

It is a happy number.

1127379419136 is a `hidden beast` number, since 1 + 1 + 27 + 3 + 79 + 419 + 136 = 666.

It is not an unprimeable number, because it can be changed into a prime (1127379419137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124005951 + ... + 124015041.

Almost surely, 2^{1127379419136} is an apocalyptic number.

1127379419136 is a gapful number since it is divisible by the number (16) 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 1127379419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686660288586).

1127379419136 is an abundant number, since it is smaller than the sum of its proper divisors (2245941158036).

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

1127379419136 is an frugal number, since it uses more digits than its factorization.

1127379419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9125 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 1127379419136 in words is "one trillion, one hundred twenty-seven billion, three hundred seventy-nine million, four hundred nineteen thousand, one hundred thirty-six".