10440000 has 210 divisors, whose sum is σ = 38682930. Its totient is φ = 2688000.

The previous prime is 10439981. The next prime is 10440011. The reversal of 10440000 is 4401.

It can be written as a sum of positive squares in 5 ways, for example, as 3968064 + 6471936 = 1992^2 + 2544^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 29 ways as a sum of consecutive naturals, for example, 359986 + ... + 360014.

Almost surely, 2^10440000 is an apocalyptic number.

10440000 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 10440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341465).

10440000 is an abundant number, since it is smaller than the sum of its proper divisors (28242930).

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

10440000 is an equidigital number, since it uses as much as digits as its factorization.

10440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10440000 is about 3231.0988842807. The cubic root of 10440000 is about 218.5580629311.

Adding to 10440000 its reverse (4401), we get a palindrome (10444401).

It can be divided in two parts, 104 and 40000, that added together give a palindrome (40104).

The spelling of 10440000 in words is "ten million, four hundred forty thousand".