440400400400 has 30 divisors (see below), whose sum is σ = 1058061962922. Its totient is φ = 176160160000.

The previous prime is 440400400367. The next prime is 440400400403. The reversal of 440400400400 is 4004004044.

It can be written as a sum of positive squares in 3 ways, for example, as 151003742464 + 289396657936 = 388592^2 + 537956^2 .

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

It is not an unprimeable number, because it can be changed into a prime (440400400403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550500101 + ... + 550500900.

Almost surely, 2^440400400400 is an apocalyptic number.

440400400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440400400400 is an abundant number, since it is smaller than the sum of its proper divisors (617661562522).

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

440400400400 is a wasteful number, since it uses less digits than its factorization.

440400400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001019 (or 1101001008 counting only the distinct ones).

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

Adding to 440400400400 its reverse (4004004044), we get a palindrome (444404404444).

It can be divided in two parts, 4 and 40400400400, that added together give a palindrome (40400400404).

The spelling of 440400400400 in words is "four hundred forty billion, four hundred million, four hundred thousand, four hundred".