440042000 has 40 divisors (see below), whose sum is σ = 1064026392. Its totient is φ = 176016000.

The previous prime is 440041981. The next prime is 440042011. The reversal of 440042000 is 240044.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 438148624 = 1376^2 + 20932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108011 + ... + 112010.

Almost surely, 2^440042000 is an apocalyptic number.

440042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440042000 is an abundant number, since it is smaller than the sum of its proper divisors (623984392).

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

440042000 is a wasteful number, since it uses less digits than its factorization.

440042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220044 (or 220028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 440042000 is about 20977.1780752321. The cubic root of 440042000 is about 760.6146919889.

Adding to 440042000 its reverse (240044), we get a palindrome (440282044).

The spelling of 440042000 in words is "four hundred forty million, forty-two thousand".