961418821440 has 896 divisors, whose sum is σ = 4067134156800. Its totient is φ = 186272317440.

The previous prime is 961418821397. The next prime is 961418821459. The reversal of 961418821440 is 44128814169.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 961418821440.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 136970251 + ... + 136977269.

Almost surely, 2^961418821440 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 961418821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033567078400).

961418821440 is an abundant number, since it is smaller than the sum of its proper divisors (3105715335360).

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

961418821440 is a wasteful number, since it uses less digits than its factorization.

961418821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 961418821440 in words is "nine hundred sixty-one billion, four hundred eighteen million, eight hundred twenty-one thousand, four hundred forty".