966281430400 has 576 divisors, whose sum is σ = 2844160819200. Its totient is φ = 321540710400.

The previous prime is 966281430377. The next prime is 966281430403. The reversal of 966281430400 is 4034182669.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966281430403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 755496961 + ... + 755498239.

It is an arithmetic number, because the mean of its divisors is an integer number (4937779200).

Almost surely, 2^966281430400 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 966281430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422080409600).

966281430400 is an abundant number, since it is smaller than the sum of its proper divisors (1877879388800).

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

966281430400 is a wasteful number, since it uses less digits than its factorization.

966281430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 966281430400 in words is "nine hundred sixty-six billion, two hundred eighty-one million, four hundred thirty thousand, four hundred".