9940022400 has 1152 divisors, whose sum is σ = 44380820160. Its totient is φ = 1926758400.

The previous prime is 9940022377. The next prime is 9940022419. The reversal of 9940022400 is 42200499.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87964744 + ... + 87964856.

Almost surely, 2^9940022400 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 9940022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190410080).

9940022400 is an abundant number, since it is smaller than the sum of its proper divisors (34440797760).

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

9940022400 is a wasteful number, since it uses less digits than its factorization.

9940022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9940022400 is about 99699.6609823725. The cubic root of 9940022400 is about 2150.1187891821.

Adding to 9940022400 its reverse (42200499), we get a palindrome (9982222899).

The spelling of 9940022400 in words is "nine billion, nine hundred forty million, twenty-two thousand, four hundred".