966002342400 has 1440 divisors, whose sum is σ = 3854979002160. Its totient is φ = 229889802240.

The previous prime is 966002342351. The next prime is 966002342411. The reversal of 966002342400 is 4243200669.

966002342400 is a `hidden beast` number, since 9 + 6 + 600 + 2 + 3 + 4 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 11019960576 + 954982381824 = 104976^2 + 977232^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4145932684 + ... + 4145932916.

Almost surely, 2^966002342400 is an apocalyptic number.

966002342400 is a gapful number since it is divisible by the number (90) 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 966002342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927489501080).

966002342400 is an abundant number, since it is smaller than the sum of its proper divisors (2888976659760).

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

966002342400 is a wasteful number, since it uses less digits than its factorization.

966002342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 966002342400 in words is "nine hundred sixty-six billion, two million, three hundred forty-two thousand, four hundred".