960443091072 has 768 divisors, whose sum is σ = 3193744619520. Its totient is φ = 285758668800.

The previous prime is 960443091059. The next prime is 960443091079. The reversal of 960443091072 is 270190344069.

It is a happy number.

960443091072 is a `hidden beast` number, since 9 + 60 + 4 + 430 + 91 + 0 + 72 = 666.

It is a super-2 number, since 2×960443091072² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (960443091079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1836411003 + ... + 1836411525.

It is an arithmetic number, because the mean of its divisors is an integer number (4158521640).

Almost surely, 2^960443091072 is an apocalyptic number.

960443091072 is a gapful number since it is divisible by the number (92) 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 960443091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596872309760).

960443091072 is an abundant number, since it is smaller than the sum of its proper divisors (2233301528448).

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

960443091072 is a wasteful number, since it uses less digits than its factorization.

960443091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 960443091072 in words is "nine hundred sixty billion, four hundred forty-three million, ninety-one thousand, seventy-two".