116642406400 has 336 divisors, whose sum is σ = 314499339504. Its totient is φ = 42656071680.

The previous prime is 116642406389. The next prime is 116642406407. The reversal of 116642406400 is 4604246611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116642406407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513843087 + ... + 513843313.

It is an arithmetic number, because the mean of its divisors is an integer number (936009939).

Almost surely, 2^116642406400 is an apocalyptic number.

116642406400 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 116642406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157249669752).

116642406400 is an abundant number, since it is smaller than the sum of its proper divisors (197856933104).

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

116642406400 is a wasteful number, since it uses less digits than its factorization.

116642406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 116642406400 in words is "one hundred sixteen billion, six hundred forty-two million, four hundred six thousand, four hundred".