9956231040 has 512 divisors, whose sum is σ = 38603980800. Its totient is φ = 2131992576.

The previous prime is 9956231027. The next prime is 9956231057. The reversal of 9956231040 is 401326599.

It is a self number, because there is not a number n which added to its sum of digits gives 9956231040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32430567 + ... + 32430873.

It is an arithmetic number, because the mean of its divisors is an integer number (75398400).

Almost surely, 2^9956231040 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 9956231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301990400).

9956231040 is an abundant number, since it is smaller than the sum of its proper divisors (28647749760).

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

9956231040 is a wasteful number, since it uses less digits than its factorization.

9956231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 9956231040 is about 99780.9152092724. The cubic root of 9956231040 is about 2151.2868474362.

The spelling of 9956231040 in words is "nine billion, nine hundred fifty-six million, two hundred thirty-one thousand, forty".