966072240128 has 108 divisors (see below), whose sum is σ = 1988679006405. Its totient is φ = 469180440576.

The previous prime is 966072240121. The next prime is 966072240151. The reversal of 966072240128 is 821042270669.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 779420591104 + 186651649024 = 882848^2 + 432032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=695008.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966072240121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1645778651 + ... + 1645779237.

Almost surely, 2^966072240128 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 966072240128

966072240128 is an abundant number, since it is smaller than the sum of its proper divisors (1022606766277).

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

966072240128 is an frugal number, since it uses more digits than its factorization.

966072240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 966072240128 in words is "nine hundred sixty-six billion, seventy-two million, two hundred forty thousand, one hundred twenty-eight".