961965303040 has 216 divisors, whose sum is σ = 2682530290440. Its totient is φ = 329555165184.

The previous prime is 961965302989. The next prime is 961965303071. The reversal of 961965303040 is 40303569169.

It can be written as a sum of positive squares in 4 ways, for example, as 33779499264 + 928185803776 = 183792^2 + 963424^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89621514 + ... + 89632246.

It is an arithmetic number, because the mean of its divisors is an integer number (12419121715).

Almost surely, 2^961965303040 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 961965303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341265145220).

961965303040 is an abundant number, since it is smaller than the sum of its proper divisors (1720564987400).

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

961965303040 is a wasteful number, since it uses less digits than its factorization.

961965303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 961965303040 in words is "nine hundred sixty-one billion, nine hundred sixty-five million, three hundred three thousand, forty".