1441311040 has 56 divisors (see below), whose sum is σ = 3696141960. Its totient is φ = 532174848.

The previous prime is 1441311029. The next prime is 1441311041. The reversal of 1441311040 is 401131441.

It can be written as a sum of positive squares in 4 ways, for example, as 66977856 + 1374333184 = 8184^2 + 37072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1441310999 and 1441311017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441311041) 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 7 ways as a sum of consecutive naturals, for example, 169075 + ... + 177394.

It is an arithmetic number, because the mean of its divisors is an integer number (66002535).

Almost surely, 2^1441311040 is an apocalyptic number.

1441311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441311040 is an abundant number, since it is smaller than the sum of its proper divisors (2254830920).

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

1441311040 is a wasteful number, since it uses less digits than its factorization.

1441311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346499 (or 346489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1441311040 is about 37964.6024607133. The cubic root of 1441311040 is about 1129.5858351152.

Adding to 1441311040 its reverse (401131441), we get a palindrome (1842442481).

It can be divided in two parts, 1441 and 311040, that added together give a square (312481 = 559²).

The spelling of 1441311040 in words is "one billion, four hundred forty-one million, three hundred eleven thousand, forty".