9942405760 has 192 divisors, whose sum is σ = 27916967520. Its totient is φ = 3375826944.

The previous prime is 9942405757. The next prime is 9942405763. The reversal of 9942405760 is 675042499.

It is an interprime number because it is at equal distance from previous prime (9942405757) and next prime (9942405763).

It is a self number, because there is not a number n which added to its sum of digits gives 9942405760.

It is not an unprimeable number, because it can be changed into a prime (9942405763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354039 + ... + 3357001.

Almost surely, 2^9942405760 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 9942405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958483760).

9942405760 is an abundant number, since it is smaller than the sum of its proper divisors (17974561760).

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

9942405760 is a wasteful number, since it uses less digits than its factorization.

9942405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 9942405760 is about 99711.6129645890. The cubic root of 9942405760 is about 2150.2906230537.

It can be divided in two parts, 994240 and 5760, that added together give a 6-th power (1000000 = 10⁶).

The spelling of 9942405760 in words is "nine billion, nine hundred forty-two million, four hundred five thousand, seven hundred sixty".