1441456128 has 448 divisors, whose sum is σ = 5242560000. Its totient is φ = 390168576.

The previous prime is 1441456127. The next prime is 1441456139. The reversal of 1441456128 is 8216541441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1441456092 and 1441456101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441456127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75866103 + ... + 75866121.

Almost surely, 2^1441456128 is an apocalyptic number.

1441456128 is a gapful number since it is divisible by the number (18) 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 1441456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621280000).

1441456128 is an abundant number, since it is smaller than the sum of its proper divisors (3801103872).

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

1441456128 is an frugal number, since it uses more digits than its factorization.

1441456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1441456128 is about 37966.5132452270. The cubic root of 1441456128 is about 1129.6237366845.

Adding to 1441456128 its reverse (8216541441), we get a palindrome (9657997569).

The spelling of 1441456128 in words is "one billion, four hundred forty-one million, four hundred fifty-six thousand, one hundred twenty-eight".