1440806400 has 480 divisors, whose sum is σ = 5784451200. Its totient is φ = 348364800.

The previous prime is 1440806383. The next prime is 1440806413. The reversal of 1440806400 is 46080441.

1440806400 is a `hidden beast` number, since 14 + 4 + 0 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801411 + ... + 3801789.

It is an arithmetic number, because the mean of its divisors is an integer number (12050940).

Almost surely, 2^1440806400 is an apocalyptic number.

1440806400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892225600).

1440806400 is an abundant number, since it is smaller than the sum of its proper divisors (4343644800).

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

1440806400 is a wasteful number, since it uses less digits than its factorization.

1440806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1440806400 is about 37957.9556878397. The cubic root of 1440806400 is about 1129.4539873921.

Adding to 1440806400 its reverse (46080441), we get a palindrome (1486886841).

The spelling of 1440806400 in words is "one billion, four hundred forty million, eight hundred six thousand, four hundred".