9961598440000 has 315 divisors, whose sum is σ = 25358436161487. Its totient is φ = 3881368512000.

The previous prime is 9961598439967. The next prime is 9961598440021. The reversal of 9961598440000 is 448951699.

The square root of 9961598440000 is 3156200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 780989317696 + 9180609122304 = 883736^2 + 3029952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27143319817 + ... + 27143320183.

Almost surely, 2^{9961598440000} is an apocalyptic number.

9961598440000 is the 3156200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961598440000

9961598440000 is an abundant number, since it is smaller than the sum of its proper divisors (15396837721487).

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

9961598440000 is an frugal number, since it uses more digits than its factorization.

9961598440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 9961598440000 in words is "nine trillion, nine hundred sixty-one billion, five hundred ninety-eight million, four hundred forty thousand".