9952014240 has 192 divisors, whose sum is σ = 39808177920. Its totient is φ = 2274739200.

The previous prime is 9952014223. The next prime is 9952014257. The reversal of 9952014240 is 424102599.

9952014240 is a `hidden beast` number, since 99 + 520 + 1 + 4 + 2 + 40 = 666.

9952014240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9952014223) and next prime (9952014257).

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 = 9952014195 and 9952014204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134311 + ... + 194790.

It is an arithmetic number, because the mean of its divisors is an integer number (207334260).

Almost surely, 2^9952014240 is an apocalyptic number.

9952014240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9952014240 is an abundant number, since it is smaller than the sum of its proper divisors (29856163680).

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

9952014240 is a wasteful number, since it uses less digits than its factorization.

9952014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329132 (or 329118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9952014240 is about 99759.7826781915. The cubic root of 9952014240 is about 2150.9830903436.

The spelling of 9952014240 in words is "nine billion, nine hundred fifty-two million, fourteen thousand, two hundred forty".