1440120400 has 30 divisors (see below), whose sum is σ = 3459890222. Its totient is φ = 576048000.

The previous prime is 1440120379. The next prime is 1440120403. The reversal of 1440120400 is 40210441.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 1440050704 = 264^2 + 37948^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440120403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1799751 + ... + 1800550.

Almost surely, 2^1440120400 is an apocalyptic number.

1440120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440120400 is an abundant number, since it is smaller than the sum of its proper divisors (2019769822).

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

1440120400 is a wasteful number, since it uses less digits than its factorization.

1440120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600319 (or 3600308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1440120400 is about 37948.9182981544. The cubic root of 1440120400 is about 1129.2747062073.

Adding to 1440120400 its reverse (40210441), we get a palindrome (1480330841).

The spelling of 1440120400 in words is "one billion, four hundred forty million, one hundred twenty thousand, four hundred".