1440340400 has 60 divisors (see below), whose sum is σ = 3499385400. Its totient is φ = 569648640.

The previous prime is 1440340399. The next prime is 1440340409. The reversal of 1440340400 is 40430441.

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 (1440340409) 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 11 ways as a sum of consecutive naturals, for example, 15371 + ... + 55829.

It is an arithmetic number, because the mean of its divisors is an integer number (58323090).

Almost surely, 2^1440340400 is an apocalyptic number.

1440340400 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 1440340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749692700).

1440340400 is an abundant number, since it is smaller than the sum of its proper divisors (2059045000).

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

1440340400 is a wasteful number, since it uses less digits than its factorization.

1440340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40566 (or 40555 counting only the distinct ones).

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

The square root of 1440340400 is about 37951.8168208058. The cubic root of 1440340400 is about 1129.3322078314.

Adding to 1440340400 its reverse (40430441), we get a palindrome (1480770841).

The spelling of 1440340400 in words is "one billion, four hundred forty million, three hundred forty thousand, four hundred".