10009440 has 192 divisors, whose sum is σ = 40158720. Its totient is φ = 2280960.

The previous prime is 10009423. The next prime is 10009459. The reversal of 10009440 is 4490001.

It is a super-2 number, since 2×10009440² = 200377778227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30075 + ... + 30405.

It is an arithmetic number, because the mean of its divisors is an integer number (209160).

Almost surely, 2^10009440 is an apocalyptic number.

10009440 is a gapful number since it is divisible by the number (10) 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 10009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

10009440 is an abundant number, since it is smaller than the sum of its proper divisors (30149280).

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

10009440 is a wasteful number, since it uses less digits than its factorization.

10009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10009440 is about 3163.7699031377. The cubic root of 10009440 is about 215.5112405605.

Adding to 10009440 its reverse (4490001), we get a palindrome (14499441).

It can be divided in two parts, 1000 and 9440, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10009440 in words is "ten million, nine thousand, four hundred forty".