9945128424 has 384 divisors, whose sum is σ = 33094656000. Its totient is φ = 2432855040.

The previous prime is 9945128423. The next prime is 9945128429. The reversal of 9945128424 is 4248215499.

It is not an unprimeable number, because it can be changed into a prime (9945128423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41611297 + ... + 41611535.

It is an arithmetic number, because the mean of its divisors is an integer number (86184000).

Almost surely, 2^9945128424 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 9945128424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328000).

9945128424 is an abundant number, since it is smaller than the sum of its proper divisors (23149527576).

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

9945128424 is a wasteful number, since it uses less digits than its factorization.

9945128424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 9945128424 is about 99725.2647226369. The cubic root of 9945128424 is about 2150.4868862347.

The spelling of 9945128424 in words is "nine billion, nine hundred forty-five million, one hundred twenty-eight thousand, four hundred twenty-four".