2316415116400 has 240 divisors, whose sum is σ = 6979978252800. Its totient is φ = 717674572800.

The previous prime is 2316415116331. The next prime is 2316415116403. The reversal of 2316415116400 is 46115146132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316415116403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4918426 + ... + 5368774.

It is an arithmetic number, because the mean of its divisors is an integer number (29083242720).

Almost surely, 2^{2316415116400} is an apocalyptic number.

2316415116400 is a gapful number since it is divisible by the number (20) 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 2316415116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489989126400).

2316415116400 is an abundant number, since it is smaller than the sum of its proper divisors (4663563136400).

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

2316415116400 is a wasteful number, since it uses less digits than its factorization.

2316415116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450552 (or 450541 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2316415116400 in words is "two trillion, three hundred sixteen billion, four hundred fifteen million, one hundred sixteen thousand, four hundred".