1009121844 has 48 divisors (see below), whose sum is σ = 2484668480. Its totient is φ = 317882880.

The previous prime is 1009121843. The next prime is 1009121857. The reversal of 1009121844 is 4481219001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009121843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90732 + ... + 101244.

Almost surely, 2^1009121844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009121844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242334240).

1009121844 is an abundant number, since it is smaller than the sum of its proper divisors (1475546636).

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

1009121844 is a wasteful number, since it uses less digits than its factorization.

1009121844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10960 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1009121844 is about 31766.6782021665. The cubic root of 1009121844 is about 1003.0314158986.

The spelling of 1009121844 in words is "one billion, nine million, one hundred twenty-one thousand, eight hundred forty-four".