9920234400 has 576 divisors, whose sum is σ = 36717649920. Its totient is φ = 2311372800.

The previous prime is 9920234393. The next prime is 9920234411. The reversal of 9920234400 is 44320299.

It is a super-2 number, since 2×9920234400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51938305 + ... + 51938495.

It is an arithmetic number, because the mean of its divisors is an integer number (63745920).

Almost surely, 2^9920234400 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 9920234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358824960).

9920234400 is an abundant number, since it is smaller than the sum of its proper divisors (26797415520).

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

9920234400 is a wasteful number, since it uses less digits than its factorization.

9920234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 9920234400 is about 99600.3734932756. The cubic root of 9920234400 is about 2148.6910655415.

Adding to 9920234400 its reverse (44320299), we get a palindrome (9964554699).

The spelling of 9920234400 in words is "nine billion, nine hundred twenty million, two hundred thirty-four thousand, four hundred".