116408048400 has 1200 divisors, whose sum is σ = 495636134400. Its totient is φ = 25619742720.

The previous prime is 116408048387. The next prime is 116408048417. The reversal of 116408048400 is 4840804611.

116408048400 is a `hidden beast` number, since 1 + 1 + 640 + 8 + 0 + 4 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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 239 ways as a sum of consecutive naturals, for example, 1307955556 + ... + 1307955644.

It is an arithmetic number, because the mean of its divisors is an integer number (413030112).

Almost surely, 2^116408048400 is an apocalyptic number.

116408048400 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 116408048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247818067200).

116408048400 is an abundant number, since it is smaller than the sum of its proper divisors (379228086000).

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

116408048400 is a wasteful number, since it uses less digits than its factorization.

116408048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 116408048400 in words is "one hundred sixteen billion, four hundred eight million, forty-eight thousand, four hundred".