1441326100 has 72 divisors (see below), whose sum is σ = 3244714200. Its totient is φ = 555072000.

The previous prime is 1441326091. The next prime is 1441326109. The reversal of 1441326100 is 16231441.

It is an interprime number because it is at equal distance from previous prime (1441326091) and next prime (1441326109).

It can be written as a sum of positive squares in 12 ways, for example, as 362597764 + 1078728336 = 19042^2 + 32844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441326109) 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, 2032546 + ... + 2033254.

It is an arithmetic number, because the mean of its divisors is an integer number (45065475).

Almost surely, 2^1441326100 is an apocalyptic number.

1441326100 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 1441326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622357100).

1441326100 is an abundant number, since it is smaller than the sum of its proper divisors (1803388100).

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

1441326100 is a wasteful number, since it uses less digits than its factorization.

1441326100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1441326100 is about 37964.8008028489. The cubic root of 1441326100 is about 1129.5897693813.

Adding to 1441326100 its reverse (16231441), we get a palindrome (1457557541).

The spelling of 1441326100 in words is "one billion, four hundred forty-one million, three hundred twenty-six thousand, one hundred".