9930435840 has 864 divisors, whose sum is σ = 40918590720. Its totient is φ = 2262712320.

The previous prime is 9930435833. The next prime is 9930435869. The reversal of 9930435840 is 485340399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×9930435840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 320336625 + ... + 320336655.

It is an arithmetic number, because the mean of its divisors is an integer number (47359480).

Almost surely, 2^9930435840 is an apocalyptic number.

9930435840 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 9930435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459295360).

9930435840 is an abundant number, since it is smaller than the sum of its proper divisors (30988154880).

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

9930435840 is a wasteful number, since it uses less digits than its factorization.

9930435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9930435840 is about 99651.5721903072. The cubic root of 9930435840 is about 2149.4273463151.

The spelling of 9930435840 in words is "nine billion, nine hundred thirty million, four hundred thirty-five thousand, eight hundred forty".