116011440 has 100 divisors (see below), whose sum is σ = 402947424. Its totient is φ = 30934656.

The previous prime is 116011429. The next prime is 116011453. The reversal of 116011440 is 44110611.

116011440 is a `hidden beast` number, since 11 + 601 + 14 + 40 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 2472 + ... + 15431.

Almost surely, 2^116011440 is an apocalyptic number.

116011440 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 116011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201473712).

116011440 is an abundant number, since it is smaller than the sum of its proper divisors (286935984).

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

116011440 is a wasteful number, since it uses less digits than its factorization.

116011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928 (or 17913 counting only the distinct ones).

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

The square root of 116011440 is about 10770.8606898428. The cubic root of 116011440 is about 487.7159280137.

It can be divided in two parts, 11601 and 1440, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 116011440 in words is "one hundred sixteen million, eleven thousand, four hundred forty".