116424830340 has 288 divisors, whose sum is σ = 435710935296. Its totient is φ = 24504560640.

The previous prime is 116424830311. The next prime is 116424830363. The reversal of 116424830340 is 43038424611.

116424830340 is a `hidden beast` number, since 1 + 1 + 642 + 4 + 8 + 3 + 0 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×116424830340² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116424830295 and 116424830304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6887539 + ... + 6904421.

It is an arithmetic number, because the mean of its divisors is an integer number (1512885192).

Almost surely, 2^116424830340 is an apocalyptic number.

116424830340 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 116424830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217855467648).

116424830340 is an abundant number, since it is smaller than the sum of its proper divisors (319286104956).

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

116424830340 is a wasteful number, since it uses less digits than its factorization.

116424830340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17339 (or 17334 counting only the distinct ones).

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

The spelling of 116424830340 in words is "one hundred sixteen billion, four hundred twenty-four million, eight hundred thirty thousand, three hundred forty".