1444404120 has 64 divisors (see below), whose sum is σ = 4394269440. Its totient is φ = 379747200.

The previous prime is 1444404119. The next prime is 1444404121. The reversal of 1444404120 is 214044441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444404119) and next prime (1444404121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444404121) 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 15 ways as a sum of consecutive naturals, for example, 76246 + ... + 93285.

It is an arithmetic number, because the mean of its divisors is an integer number (68660460).

Almost surely, 2^1444404120 is an apocalyptic number.

1444404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444404120 is an abundant number, since it is smaller than the sum of its proper divisors (2949865320).

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

1444404120 is a wasteful number, since it uses less digits than its factorization.

1444404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169616 (or 169612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1444404120 is about 38005.3169964414. The cubic root of 1444404120 is about 1130.3932951081.

Adding to 1444404120 its reverse (214044441), we get a palindrome (1658448561).

The spelling of 1444404120 in words is "one billion, four hundred forty-four million, four hundred four thousand, one hundred twenty".