1440010400 has 72 divisors (see below), whose sum is σ = 3610511100. Its totient is φ = 560424960.

The previous prime is 1440010391. The next prime is 1440010421. The reversal of 1440010400 is 40100441.

It can be written as a sum of positive squares in 6 ways, for example, as 781985296 + 658025104 = 27964^2 + 25652^2 .

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 11 ways as a sum of consecutive naturals, for example, 5276 + ... + 53924.

Almost surely, 2^1440010400 is an apocalyptic number.

1440010400 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 1440010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805255550).

1440010400 is an abundant number, since it is smaller than the sum of its proper divisors (2170500700).

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

1440010400 is a wasteful number, since it uses less digits than its factorization.

1440010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48706 (or 48693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1440010400 is about 37947.4689538051. The cubic root of 1440010400 is about 1129.2459531992.

Adding to 1440010400 its reverse (40100441), we get a palindrome (1480110841).

The spelling of 1440010400 in words is "one billion, four hundred forty million, ten thousand, four hundred".