440400000400 has 60 divisors (see below), whose sum is σ = 1058524636372. Its totient is φ = 176082808320.

The previous prime is 440400000347. The next prime is 440400000421. The reversal of 440400000400 is 4000004044.

It can be written as a sum of positive squares in 6 ways, for example, as 16421909904 + 423978090496 = 128148^2 + 651136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677122 + ... + 1157278.

Almost surely, 2^440400000400 is an apocalyptic number.

440400000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440400000400 is an abundant number, since it is smaller than the sum of its proper divisors (618124635972).

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

440400000400 is a wasteful number, since it uses less digits than its factorization.

440400000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482468 (or 482457 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 440400000400 its reverse (4000004044), we get a palindrome (444400004444).

It can be divided in two parts, 4 and 40400000400, that added together give a palindrome (40400000404).

The spelling of 440400000400 in words is "four hundred forty billion, four hundred million, four hundred", and thus it is an aban number.