1040441440224 has 48 divisors (see below), whose sum is σ = 2819260684800. Its totient is φ = 335626270080.

The previous prime is 1040441440223. The next prime is 1040441440243. The reversal of 1040441440224 is 4220441440401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1040441440191 and 1040441440200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040441440223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174802374 + ... + 174808325.

It is an arithmetic number, because the mean of its divisors is an integer number (58734597600).

Almost surely, 2^{1040441440224} is an apocalyptic number.

It is an amenable number.

1040441440224 is an abundant number, since it is smaller than the sum of its proper divisors (1778819244576).

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

1040441440224 is a wasteful number, since it uses less digits than its factorization.

1040441440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349610743 (or 349610735 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1040441440224 its reverse (4220441440401), we get a palindrome (5260882880625).

The spelling of 1040441440224 in words is "one trillion, forty billion, four hundred forty-one million, four hundred forty thousand, two hundred twenty-four".