440040000 has 280 divisors, whose sum is σ = 1539382240. Its totient is φ = 110592000.

The previous prime is 440039983. The next prime is 440040011. The reversal of 440040000 is 40044.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

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 39 ways as a sum of consecutive naturals, for example, 2279904 + ... + 2280096.

Almost surely, 2^440040000 is an apocalyptic number.

440040000 is a gapful number since it is divisible by the number (40) 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 440040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769691120).

440040000 is an abundant number, since it is smaller than the sum of its proper divisors (1099342240).

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

440040000 is a wasteful number, since it uses less digits than its factorization.

440040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 440040000 is about 20977.1304043237. The cubic root of 440040000 is about 760.6135396506.

Adding to 440040000 its reverse (40044), we get a palindrome (440080044).

The spelling of 440040000 in words is "four hundred forty million, forty thousand".