10440320 has 64 divisors (see below), whose sum is σ = 27246240. Its totient is φ = 3793920.

The previous prime is 10440301. The next prime is 10440341. The reversal of 10440320 is 2304401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10440295 and 10440304.

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 7 ways as a sum of consecutive naturals, for example, 6299 + ... + 7781.

Almost surely, 2^10440320 is an apocalyptic number.

10440320 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 10440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120).

10440320 is an abundant number, since it is smaller than the sum of its proper divisors (16805920).

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

10440320 is a wasteful number, since it uses less digits than its factorization.

10440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10440320 is about 3231.1484026581. The cubic root of 10440320 is about 218.5602959408.

Adding to 10440320 its reverse (2304401), we get a palindrome (12744721).

The spelling of 10440320 in words is "ten million, four hundred forty thousand, three hundred twenty".