440022040400 has 60 divisors (see below), whose sum is σ = 1057462777500. Its totient is φ = 175957232640.

The previous prime is 440022040321. The next prime is 440022040477. The reversal of 440022040400 is 4040220044.

It can be written as a sum of positive squares in 6 ways, for example, as 106949929024 + 333072111376 = 327032^2 + 577124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220126 + ... + 1539074.

It is an arithmetic number, because the mean of its divisors is an integer number (17624379625).

Almost surely, 2^440022040400 is an apocalyptic number.

440022040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440022040400 is an abundant number, since it is smaller than the sum of its proper divisors (617440737100).

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

440022040400 is a wasteful number, since it uses less digits than its factorization.

440022040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322416 (or 322405 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 440022040400 its reverse (4040220044), we get a palindrome (444062260444).

The spelling of 440022040400 in words is "four hundred forty billion, twenty-two million, forty thousand, four hundred".