116416434420 has 576 divisors, whose sum is σ = 428917192704. Its totient is φ = 25181936640.

The previous prime is 116416434391. The next prime is 116416434439. The reversal of 116416434420 is 24434614611.

116416434420 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 643 + 4 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×116416434420³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118429249 + ... + 118430231.

It is an arithmetic number, because the mean of its divisors is an integer number (744647904).

Almost surely, 2^116416434420 is an apocalyptic number.

116416434420 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 116416434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214458596352).

116416434420 is an abundant number, since it is smaller than the sum of its proper divisors (312500758284).

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

116416434420 is a wasteful number, since it uses less digits than its factorization.

116416434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 116416434420 in words is "one hundred sixteen billion, four hundred sixteen million, four hundred thirty-four thousand, four hundred twenty".