961013319040 has 64 divisors (see below), whose sum is σ = 2299008024720. Its totient is φ = 384140032000.

The previous prime is 961013319037. The next prime is 961013319059. The reversal of 961013319040 is 40913310169.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411210 + ... + 1446070.

Almost surely, 2^961013319040 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 961013319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149504012360).

961013319040 is an abundant number, since it is smaller than the sum of its proper divisors (1337994705680).

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

961013319040 is a wasteful number, since it uses less digits than its factorization.

961013319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036331 (or 1036319 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 961013319040 in words is "nine hundred sixty-one billion, thirteen million, three hundred nineteen thousand, forty".