1411441020 has 288 divisors, whose sum is σ = 4943877120. Its totient is φ = 322721280.

The previous prime is 1411441013. The next prime is 1411441027. The reversal of 1411441020 is 201441141.

It is an interprime number because it is at equal distance from previous prime (1411441013) and next prime (1411441027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1411440984 and 1411441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411441027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2698479 + ... + 2699001.

It is an arithmetic number, because the mean of its divisors is an integer number (17166240).

Almost surely, 2^1411441020 is an apocalyptic number.

1411441020 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 1411441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471938560).

1411441020 is an abundant number, since it is smaller than the sum of its proper divisors (3532436100).

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

1411441020 is a wasteful number, since it uses less digits than its factorization.

1411441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1411441020 is about 37569.1498439877. The cubic root of 1411441020 is about 1121.7280456535.

Adding to 1411441020 its reverse (201441141), we get a palindrome (1612882161).

The spelling of 1411441020 in words is "one billion, four hundred eleven million, four hundred forty-one thousand, twenty".