116455020406400 has 384 divisors, whose sum is σ = 323501747063040. Its totient is φ = 41100993331200.

The previous prime is 116455020406393. The next prime is 116455020406421. The reversal of 116455020406400 is 4604020554611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416979709 + ... + 1417061891.

It is an arithmetic number, because the mean of its divisors is an integer number (842452466310).

Almost surely, 2^{116455020406400} is an apocalyptic number.

116455020406400 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 116455020406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161750873531520).

116455020406400 is an abundant number, since it is smaller than the sum of its proper divisors (207046726656640).

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

116455020406400 is a wasteful number, since it uses less digits than its factorization.

116455020406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83724 (or 83707 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 116455020406400 in words is "one hundred sixteen trillion, four hundred fifty-five billion, twenty million, four hundred six thousand, four hundred".