1107136427328 has 448 divisors, whose sum is σ = 3427649126400. Its totient is φ = 350054369280.

The previous prime is 1107136427323. The next prime is 1107136427333. The reversal of 1107136427328 is 8237246317011.

1107136427328 is a `hidden beast` number, since 1 + 10 + 7 + 1 + 364 + 273 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1107136427323) and next prime (1107136427333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107136427321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479071293 + ... + 479073603.

Almost surely, 2^{1107136427328} is an apocalyptic number.

1107136427328 is a gapful number since it is divisible by the number (18) 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 1107136427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713824563200).

1107136427328 is an abundant number, since it is smaller than the sum of its proper divisors (2320512699072).

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

1107136427328 is a wasteful number, since it uses less digits than its factorization.

1107136427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1107136427328 in words is "one trillion, one hundred seven billion, one hundred thirty-six million, four hundred twenty-seven thousand, three hundred twenty-eight".