116081951040 has 448 divisors, whose sum is σ = 448265214720. Its totient is φ = 28045025280.

The previous prime is 116081951033. The next prime is 116081951081. The reversal of 116081951040 is 40159180611.

It is a happy number.

116081951040 is a `hidden beast` number, since 1 + 1 + 60 + 81 + 9 + 510 + 4 + 0 = 666.

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 = 116081950986 and 116081951004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30125754 + ... + 30129606.

Almost surely, 2^116081951040 is an apocalyptic number.

116081951040 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 116081951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224132607360).

116081951040 is an abundant number, since it is smaller than the sum of its proper divisors (332183263680).

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

116081951040 is a wasteful number, since it uses less digits than its factorization.

116081951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 116081951040 in words is "one hundred sixteen billion, eighty-one million, nine hundred fifty-one thousand, forty".