9930263040 has 560 divisors, whose sum is σ = 37918329768. Its totient is φ = 2484338688.

The previous prime is 9930263011. The next prime is 9930263047. The reversal of 9930263040 is 403620399.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6113988864 + 3816274176 = 78192^2 + 61776^2 .

It is a super-2 number, since 2×9930263040² (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 junction number, because it is equal to n+sod(n) for n = 9930262986 and 9930263004.

It is not an unprimeable number, because it can be changed into a prime (9930263047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31725924 + ... + 31726236.

Almost surely, 2^9930263040 is an apocalyptic number.

9930263040 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 9930263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959164884).

9930263040 is an abundant number, since it is smaller than the sum of its proper divisors (27988066728).

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

9930263040 is an equidigital number, since it uses as much as digits as its factorization.

9930263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 9930263040 is about 99650.7051655933. The cubic root of 9930263040 is about 2149.4148788127.

The spelling of 9930263040 in words is "nine billion, nine hundred thirty million, two hundred sixty-three thousand, forty".