1110408778128 has 160 divisors (see below), whose sum is σ = 3101909020672. Its totient is φ = 340262208000.

The previous prime is 1110408778117. The next prime is 1110408778133. The reversal of 1110408778128 is 8218778040111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 373747683 + ... + 373750653.

Almost surely, 2^{1110408778128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110408778128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550954510336).

1110408778128 is an abundant number, since it is smaller than the sum of its proper divisors (1991500242544).

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

1110408778128 is a wasteful number, since it uses less digits than its factorization.

1110408778128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 48.

The spelling of 1110408778128 in words is "one trillion, one hundred ten billion, four hundred eight million, seven hundred seventy-eight thousand, one hundred twenty-eight".