1440034400 has 144 divisors (see below), whose sum is σ = 4049178336. Its totient is φ = 489861120.

The previous prime is 1440034391. The next prime is 1440034429. The reversal of 1440034400 is 44300441.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766262 + ... + 768138.

It is an arithmetic number, because the mean of its divisors is an integer number (28119294).

Almost surely, 2^1440034400 is an apocalyptic number.

1440034400 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 1440034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024589168).

1440034400 is an abundant number, since it is smaller than the sum of its proper divisors (2609143936).

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

1440034400 is a wasteful number, since it uses less digits than its factorization.

1440034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2028 counting only the distinct ones).

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

The square root of 1440034400 is about 37947.7851791116. The cubic root of 1440034400 is about 1129.2522267077.

Adding to 1440034400 its reverse (44300441), we get a palindrome (1484334841).

The spelling of 1440034400 in words is "one billion, four hundred forty million, thirty-four thousand, four hundred".