1138110707840 has 128 divisors (see below), whose sum is σ = 2873881105920. Its totient is φ = 430313103360.

The previous prime is 1138110707831. The next prime is 1138110707879. The reversal of 1138110707840 is 487070118311.

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

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186092 + ... + 1520148.

It is an arithmetic number, because the mean of its divisors is an integer number (22452196140).

Almost surely, 2^{1138110707840} is an apocalyptic number.

1138110707840 is a gapful number since it is divisible by the number (10) 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 1138110707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436940552960).

1138110707840 is an abundant number, since it is smaller than the sum of its proper divisors (1735770398080).

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

1138110707840 is a wasteful number, since it uses less digits than its factorization.

1138110707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334150 (or 1334138 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 41.

The spelling of 1138110707840 in words is "one trillion, one hundred thirty-eight billion, one hundred ten million, seven hundred seven thousand, eight hundred forty".