9000409014 has 64 divisors (see below), whose sum is σ = 20481984000. Its totient is φ = 2928553056.

The previous prime is 9000409009. The next prime is 9000409039. The reversal of 9000409014 is 4109040009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561637 + ... + 577439.

It is an arithmetic number, because the mean of its divisors is an integer number (320031000).

Almost surely, 2^9000409014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000409014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240992000).

9000409014 is an abundant number, since it is smaller than the sum of its proper divisors (11481574986).

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

9000409014 is a wasteful number, since it uses less digits than its factorization.

9000409014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066 (or 16060 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9000409014 is about 94870.4854736182. The cubic root of 9000409014 is about 2080.1153330710.

The spelling of 9000409014 in words is "nine billion, four hundred nine thousand, fourteen".