1009442336 has 144 divisors (see below), whose sum is σ = 2514274560. Its totient is φ = 396264960.

The previous prime is 1009442299. The next prime is 1009442363. The reversal of 1009442336 is 6332449001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923006 + ... + 924098.

It is an arithmetic number, because the mean of its divisors is an integer number (17460240).

Almost surely, 2^1009442336 is an apocalyptic number.

1009442336 is a gapful number since it is divisible by the number (16) 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 1009442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257137280).

1009442336 is an abundant number, since it is smaller than the sum of its proper divisors (1504832224).

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

1009442336 is a wasteful number, since it uses less digits than its factorization.

1009442336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1009442336 is about 31771.7222699683. The cubic root of 1009442336 is about 1003.1375905628.

The spelling of 1009442336 in words is "one billion, nine million, four hundred forty-two thousand, three hundred thirty-six".