1444440400 has 120 divisors (see below), whose sum is σ = 3756625880. Its totient is φ = 530565120.

The previous prime is 1444440397. The next prime is 1444440407. The reversal of 1444440400 is 40444441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 686649616 + 757790784 = 26204^2 + 27528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444440407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190194 + ... + 1191406.

Almost surely, 2^1444440400 is an apocalyptic number.

1444440400 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 1444440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878312940).

1444440400 is an abundant number, since it is smaller than the sum of its proper divisors (2312185480).

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

1444440400 is a wasteful number, since it uses less digits than its factorization.

1444440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 1444440400 is about 38005.7942950808. The cubic root of 1444440400 is about 1130.4027592935.

Adding to 1444440400 its reverse (40444441), we get a palindrome (1484884841).

The spelling of 1444440400 in words is "one billion, four hundred forty-four million, four hundred forty thousand, four hundred".