116470030076400 has 1440 divisors, whose sum is σ = 519937693286400. Its totient is φ = 21619173888000.

The previous prime is 116470030076341. The next prime is 116470030076501. The reversal of 116470030076400 is 4670030074611.

116470030076400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 483963301 + ... + 484203899.

It is an arithmetic number, because the mean of its divisors is an integer number (361067842560).

Almost surely, 2^{116470030076400} is an apocalyptic number.

116470030076400 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 116470030076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259968846643200).

116470030076400 is an abundant number, since it is smaller than the sum of its proper divisors (403467663210000).

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

116470030076400 is a wasteful number, since it uses less digits than its factorization.

116470030076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240695 (or 240671 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 116470030076400 in words is "one hundred sixteen trillion, four hundred seventy billion, thirty million, seventy-six thousand, four hundred".