9459141120 has 1200 divisors, whose sum is σ = 41487110280. Its totient is φ = 2043740160.

The previous prime is 9459141067. The next prime is 9459141233. The reversal of 9459141120 is 211419549.

It is a happy number.

9459141120 is a `hidden beast` number, since 9 + 4 + 591 + 41 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6024243456 + 3434897664 = 77616^2 + 58608^2 .

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 119 ways as a sum of consecutive naturals, for example, 326177266 + ... + 326177294.

Almost surely, 2^9459141120 is an apocalyptic number.

9459141120 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 9459141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743555140).

9459141120 is an abundant number, since it is smaller than the sum of its proper divisors (32027969160).

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

9459141120 is a wasteful number, since it uses less digits than its factorization.

9459141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9459141120 is about 97258.1159595434. The cubic root of 9459141120 is about 2114.8710952069.

The spelling of 9459141120 in words is "nine billion, four hundred fifty-nine million, one hundred forty-one thousand, one hundred twenty".