960878342400 has 432 divisors, whose sum is σ = 3250725273600. Its totient is φ = 249870458880.

The previous prime is 960878342357. The next prime is 960878342423. The reversal of 960878342400 is 4243878069.

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, 143862261 + ... + 143868939.

Almost surely, 2^960878342400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960878342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625362636800).

960878342400 is an abundant number, since it is smaller than the sum of its proper divisors (2289846931200).

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

960878342400 is a wasteful number, since it uses less digits than its factorization.

960878342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 960878342400 in words is "nine hundred sixty billion, eight hundred seventy-eight million, three hundred forty-two thousand, four hundred".