1444342100 has 72 divisors (see below), whose sum is σ = 3433139640. Its totient is φ = 524984320.

The previous prime is 1444342099. The next prime is 1444342103. The reversal of 1444342100 is 12434441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 104489284 + 1339852816 = 10222^2 + 36604^2 .

It is a super-2 number, since 2×1444342100² = 4172248203664820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444342103) 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, 34652 + ... + 63948.

It is an arithmetic number, because the mean of its divisors is an integer number (47682495).

Almost surely, 2^1444342100 is an apocalyptic number.

1444342100 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 1444342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716569820).

1444342100 is an abundant number, since it is smaller than the sum of its proper divisors (1988797540).

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

1444342100 is a wasteful number, since it uses less digits than its factorization.

1444342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357 (or 29350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1444342100 is about 38004.5010492178. The cubic root of 1444342100 is about 1130.3771158882.

Adding to 1444342100 its reverse (12434441), we get a palindrome (1456776541).

The spelling of 1444342100 in words is "one billion, four hundred forty-four million, three hundred forty-two thousand, one hundred".