9049038120 has 384 divisors, whose sum is σ = 33710826240. Its totient is φ = 2171473920.

The previous prime is 9049038109. The next prime is 9049038151. The reversal of 9049038120 is 218309409.

9049038120 is a `hidden beast` number, since 90 + 490 + 3 + 81 + 2 + 0 = 666.

9049038120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3799330 + ... + 3801710.

It is an arithmetic number, because the mean of its divisors is an integer number (87788610).

Almost surely, 2^9049038120 is an apocalyptic number.

9049038120 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 9049038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855413120).

9049038120 is an abundant number, since it is smaller than the sum of its proper divisors (24661788120).

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

9049038120 is a wasteful number, since it uses less digits than its factorization.

9049038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2431 counting only the distinct ones).

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

The square root of 9049038120 is about 95126.4322888229. The cubic root of 9049038120 is about 2083.8548859258.

The spelling of 9049038120 in words is "nine billion, forty-nine million, thirty-eight thousand, one hundred twenty".