116436090738240 has 5376 divisors, whose sum is σ = 554798813184000. Its totient is φ = 22742926295040.

The previous prime is 116436090738217. The next prime is 116436090738311. The reversal of 116436090738240 is 42837090634611.

116436090738240 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 609 + 0 + 7 + 3 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 432847920826 + ... + 432847921094.

It is an arithmetic number, because the mean of its divisors is an integer number (103199184000).

Almost surely, 2^{116436090738240} is an apocalyptic number.

116436090738240 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 116436090738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277399406592000).

116436090738240 is an abundant number, since it is smaller than the sum of its proper divisors (438362722445760).

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

116436090738240 is a wasteful number, since it uses less digits than its factorization.

116436090738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 116436090738240 in words is "one hundred sixteen trillion, four hundred thirty-six billion, ninety million, seven hundred thirty-eight thousand, two hundred forty".