9930281400 has 768 divisors, whose sum is σ = 39991190400. Its totient is φ = 2242805760.

The previous prime is 9930281399. The next prime is 9930281407. The reversal of 9930281400 is 41820399.

It is a super-2 number, since 2×9930281400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930281407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63250122 + ... + 63250278.

Almost surely, 2^9930281400 is an apocalyptic number.

9930281400 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 9930281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19995595200).

9930281400 is an abundant number, since it is smaller than the sum of its proper divisors (30060909000).

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

9930281400 is a wasteful number, since it uses less digits than its factorization.

9930281400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

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

The square root of 9930281400 is about 99650.7972873273. The cubic root of 9930281400 is about 2149.4162034917.

The spelling of 9930281400 in words is "nine billion, nine hundred thirty million, two hundred eighty-one thousand, four hundred".