961484740800 has 336 divisors, whose sum is σ = 3258853324800. Its totient is φ = 247925145600.

The previous prime is 961484740789. The next prime is 961484740819. The reversal of 961484740800 is 8047484169.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303401616 + ... + 303404784.

Almost surely, 2^961484740800 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 961484740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629426662400).

961484740800 is an abundant number, since it is smaller than the sum of its proper divisors (2297368584000).

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

961484740800 is a wasteful number, since it uses less digits than its factorization.

961484740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 961484740800 in words is "nine hundred sixty-one billion, four hundred eighty-four million, seven hundred forty thousand, eight hundred".