1444400400 has 60 divisors (see below), whose sum is σ = 4626899792. Its totient is φ = 385173120.

The previous prime is 1444400341. The next prime is 1444400407. The reversal of 1444400400 is 40044441.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1444400407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600634 + ... + 603033.

Almost surely, 2^1444400400 is an apocalyptic number.

1444400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444400400 is an abundant number, since it is smaller than the sum of its proper divisors (3182499392).

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

1444400400 is a wasteful number, since it uses less digits than its factorization.

1444400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203688 (or 1203677 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1444400400 is about 38005.2680558893. The cubic root of 1444400400 is about 1130.3923246810.

Adding to 1444400400 its reverse (40044441), we get a palindrome (1484444841).

The spelling of 1444400400 in words is "one billion, four hundred forty-four million, four hundred thousand, four hundred".