116110440 has 192 divisors, whose sum is σ = 405475200. Its totient is φ = 28740096.

The previous prime is 116110433. The next prime is 116110441. The reversal of 116110440 is 44011611.

116110440 is a `hidden beast` number, since 11 + 611 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (116110441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306171 + ... + 306549.

It is an arithmetic number, because the mean of its divisors is an integer number (2111850).

Almost surely, 2^116110440 is an apocalyptic number.

116110440 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 116110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202737600).

116110440 is an abundant number, since it is smaller than the sum of its proper divisors (289364760).

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

116110440 is a wasteful number, since it uses less digits than its factorization.

116110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116110440 is about 10775.4554428108. The cubic root of 116110440 is about 487.8546216598.

The spelling of 116110440 in words is "one hundred sixteen million, one hundred ten thousand, four hundred forty".