116628024240 has 360 divisors, whose sum is σ = 490672688688. Its totient is φ = 24607134720.

The previous prime is 116628024229. The next prime is 116628024251. The reversal of 116628024240 is 42420826611.

116628024240 is a `hidden beast` number, since 1 + 1 + 6 + 628 + 0 + 2 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116628024229) and next prime (116628024251).

It is a tau number, because it is divible by the number of its divisors (360).

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 = 116628024195 and 116628024204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331495 + ... + 585785.

Almost surely, 2^116628024240 is an apocalyptic number.

116628024240 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 116628024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336344344).

116628024240 is an abundant number, since it is smaller than the sum of its proper divisors (374044664448).

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

116628024240 is a wasteful number, since it uses less digits than its factorization.

116628024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254337 (or 254321 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 116628024240 in words is "one hundred sixteen billion, six hundred twenty-eight million, twenty-four thousand, two hundred forty".