116176100040 has 1280 divisors, whose sum is σ = 530590072320. Its totient is φ = 22016655360.

The previous prime is 116176099993. The next prime is 116176100087. The reversal of 116176100040 is 40001671611.

116176100040 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 610 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (116176099993) and next prime (116176100087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116176099977 and 116176100013.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 366485962 + ... + 366486278.

It is an arithmetic number, because the mean of its divisors is an integer number (414523494).

Almost surely, 2^116176100040 is an apocalyptic number.

116176100040 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 116176100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265295036160).

116176100040 is an abundant number, since it is smaller than the sum of its proper divisors (414413972280).

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

116176100040 is a wasteful number, since it uses less digits than its factorization.

116176100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 116176100040 its reverse (40001671611), we get a palindrome (156177771651).

The spelling of 116176100040 in words is "one hundred sixteen billion, one hundred seventy-six million, one hundred thousand, forty".