961802726400 has 528 divisors, whose sum is σ = 3646026004480. Its totient is φ = 248201625600.

The previous prime is 961802726387. The next prime is 961802726419. The reversal of 961802726400 is 4627208169.

It is a happy number.

961802726400 is a `hidden beast` number, since 9 + 618 + 0 + 2 + 7 + 26 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21404757 + ... + 21449643.

Almost surely, 2^961802726400 is an apocalyptic number.

961802726400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961802726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823013002240).

961802726400 is an abundant number, since it is smaller than the sum of its proper divisors (2684223278080).

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

961802726400 is a wasteful number, since it uses less digits than its factorization.

961802726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44957 (or 44928 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 961802726400 in words is "nine hundred sixty-one billion, eight hundred two million, seven hundred twenty-six thousand, four hundred".