10440400 has 60 divisors (see below), whose sum is σ = 25708672. Its totient is φ = 4072320.

The previous prime is 10440383. The next prime is 10440427. The reversal of 10440400 is 404401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16897 + ... + 17503.

Almost surely, 2^10440400 is an apocalyptic number.

10440400 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 10440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854336).

10440400 is an abundant number, since it is smaller than the sum of its proper divisors (15268272).

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

10440400 is a wasteful number, since it uses less digits than its factorization.

10440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10440400 is about 3231.1607821339. The cubic root of 10440400 is about 218.5608541861.

Adding to 10440400 its reverse (404401), we get a palindrome (10844801).

It can be divided in two parts, 104 and 40400, that added together give a palindrome (40504).

The spelling of 10440400 in words is "ten million, four hundred forty thousand, four hundred".