9946112040 has 128 divisors (see below), whose sum is σ = 33190732800. Its totient is φ = 2649335040.

The previous prime is 9946112027. The next prime is 9946112047. The reversal of 9946112040 is 402116499.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 9946111986 and 9946112004.

It is not an unprimeable number, because it can be changed into a prime (9946112047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065634 + ... + 1074926.

It is an arithmetic number, because the mean of its divisors is an integer number (259302600).

Almost surely, 2^9946112040 is an apocalyptic number.

9946112040 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 9946112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595366400).

9946112040 is an abundant number, since it is smaller than the sum of its proper divisors (23244620760).

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

9946112040 is a wasteful number, since it uses less digits than its factorization.

9946112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10294 counting only the distinct ones).

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

The square root of 9946112040 is about 99730.1962296275. The cubic root of 9946112040 is about 2150.5577813667.

The spelling of 9946112040 in words is "nine billion, nine hundred forty-six million, one hundred twelve thousand, forty".