9414210960 has 960 divisors, whose sum is σ = 42657269760. Its totient is φ = 1853660160.

The previous prime is 9414210919. The next prime is 9414211031. The reversal of 9414210960 is 690124149.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87983227 + ... + 87983333.

It is an arithmetic number, because the mean of its divisors is an integer number (44434656).

Almost surely, 2^9414210960 is an apocalyptic number.

9414210960 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 9414210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21328634880).

9414210960 is an abundant number, since it is smaller than the sum of its proper divisors (33243058800).

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

9414210960 is a wasteful number, since it uses less digits than its factorization.

9414210960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

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

The square root of 9414210960 is about 97026.8569005510. The cubic root of 9414210960 is about 2111.5172902505.

The spelling of 9414210960 in words is "nine billion, four hundred fourteen million, two hundred ten thousand, nine hundred sixty".