116416040 has 64 divisors (see below), whose sum is σ = 296956800. Its totient is φ = 40718592.

The previous prime is 116416019. The next prime is 116416057. The reversal of 116416040 is 40614611.

It is a junction number, because it is equal to n+sod(n) for n = 116415997 and 116416015.

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 15 ways as a sum of consecutive naturals, for example, 3989 + ... + 15771.

It is an arithmetic number, because the mean of its divisors is an integer number (4639950).

Almost surely, 2^116416040 is an apocalyptic number.

116416040 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 116416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148478400).

116416040 is an abundant number, since it is smaller than the sum of its proper divisors (180540760).

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

116416040 is a wasteful number, since it uses less digits than its factorization.

116416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116416040 is about 10789.6264995597. The cubic root of 116416040 is about 488.2822540767.

The spelling of 116416040 in words is "one hundred sixteen million, four hundred sixteen thousand, forty".