1443040400 has 60 divisors (see below), whose sum is σ = 3523798644. Its totient is φ = 567744000.

The previous prime is 1443040399. The next prime is 1443040411. The reversal of 1443040400 is 40403441.

It can be written as a sum of positive squares in 6 ways, for example, as 200618896 + 1242421504 = 14164^2 + 35248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5171 + ... + 53970.

Almost surely, 2^1443040400 is an apocalyptic number.

1443040400 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 1443040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761899322).

1443040400 is an abundant number, since it is smaller than the sum of its proper divisors (2080758244).

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

1443040400 is a wasteful number, since it uses less digits than its factorization.

1443040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59220 (or 59209 counting only the distinct ones).

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

The square root of 1443040400 is about 37987.3715858310. The cubic root of 1443040400 is about 1130.0374331714.

Adding to 1443040400 its reverse (40403441), we get a palindrome (1483443841).

The spelling of 1443040400 in words is "one billion, four hundred forty-three million, forty thousand, four hundred".