1440214400 has 48 divisors (see below), whose sum is σ = 3557787540. Its totient is φ = 576084480.

The previous prime is 1440214397. The next prime is 1440214463. The reversal of 1440214400 is 44120441.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 221834 + ... + 228233.

Almost surely, 2^1440214400 is an apocalyptic number.

1440214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440214400 is an abundant number, since it is smaller than the sum of its proper divisors (2117573140).

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

1440214400 is an equidigital number, since it uses as much as digits as its factorization.

1440214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450091 (or 450074 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1440214400 is about 37950.1567849199. The cubic root of 1440214400 is about 1129.2992757995.

Adding to 1440214400 its reverse (44120441), we get a palindrome (1484334841).

The spelling of 1440214400 in words is "one billion, four hundred forty million, two hundred fourteen thousand, four hundred".