110557771440 has 160 divisors (see below), whose sum is σ = 363548606400. Its totient is φ = 27697446912.

The previous prime is 110557771403. The next prime is 110557771483. The reversal of 110557771440 is 44177755011.

It is a junction number, because it is equal to n+sod(n) for n = 110557771392 and 110557771401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2248236 + ... + 2296884.

It is an arithmetic number, because the mean of its divisors is an integer number (2272178790).

Almost surely, 2^110557771440 is an apocalyptic number.

110557771440 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 110557771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181774303200).

110557771440 is an abundant number, since it is smaller than the sum of its proper divisors (252990834960).

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

110557771440 is a wasteful number, since it uses less digits than its factorization.

110557771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49239 (or 49233 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 110557771440 in words is "one hundred ten billion, five hundred fifty-seven million, seven hundred seventy-one thousand, four hundred forty".