9940582400 has 180 divisors, whose sum is σ = 28181717088. Its totient is φ = 3407216640.

The previous prime is 9940582369. The next prime is 9940582409. The reversal of 9940582400 is 42850499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940582409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2865467 + ... + 2868933.

Almost surely, 2^9940582400 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 9940582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090858544).

9940582400 is an abundant number, since it is smaller than the sum of its proper divisors (18241134688).

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

9940582400 is an equidigital number, since it uses as much as digits as its factorization.

9940582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 9940582400 is about 99702.4693776438. The cubic root of 9940582400 is about 2150.1591661505.

The spelling of 9940582400 in words is "nine billion, nine hundred forty million, five hundred eighty-two thousand, four hundred".