9942410016 has 768 divisors, whose sum is σ = 39191040000. Its totient is φ = 2373304320.

The previous prime is 9942409979. The next prime is 9942410047. The reversal of 9942410016 is 6100142499.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66727510 + ... + 66727658.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 2^9942410016 is an apocalyptic number.

9942410016 is a gapful number since it is divisible by the number (96) 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 9942410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520000).

9942410016 is an abundant number, since it is smaller than the sum of its proper divisors (29248629984).

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

9942410016 is a wasteful number, since it uses less digits than its factorization.

9942410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9942410016 is about 99711.6343061330. The cubic root of 9942410016 is about 2150.2909298753.

The spelling of 9942410016 in words is "nine billion, nine hundred forty-two million, four hundred ten thousand, sixteen".