1440430000400 has 30 divisors (see below), whose sum is σ = 3460633076922. Its totient is φ = 576172000000.

The previous prime is 1440430000397. The next prime is 1440430000409. The reversal of 1440430000400 is 40000340441.

It can be written as a sum of positive squares in 3 ways, for example, as 85245313024 + 1355184687376 = 291968^2 + 1164124^2 .

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 (1440430000409) 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, 1800537101 + ... + 1800537900.

Almost surely, 2^{1440430000400} is an apocalyptic number.

1440430000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440430000400 is an abundant number, since it is smaller than the sum of its proper divisors (2020203076522).

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

1440430000400 is a wasteful number, since it uses less digits than its factorization.

1440430000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601075019 (or 3601075008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1440430000400 its reverse (40000340441), we get a palindrome (1480430340841).

The spelling of 1440430000400 in words is "one trillion, four hundred forty billion, four hundred thirty million, four hundred", and thus it is an aban number.