1041441040 has 80 divisors (see below), whose sum is σ = 2558407680. Its totient is φ = 393612800.

The previous prime is 1041441007. The next prime is 1041441077. The reversal of 1041441040 is 401441401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1041440999 and 1041441017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104265 + ... + 113815.

It is an arithmetic number, because the mean of its divisors is an integer number (31980096).

Almost surely, 2^1041441040 is an apocalyptic number.

1041441040 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 1041441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279203840).

1041441040 is an abundant number, since it is smaller than the sum of its proper divisors (1516966640).

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

1041441040 is a wasteful number, since it uses less digits than its factorization.

1041441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1041441040 is about 32271.3656358079. The cubic root of 1041441040 is about 1013.6271376059.

Adding to 1041441040 its reverse (401441401), we get a palindrome (1442882441).

The spelling of 1041441040 in words is "one billion, forty-one million, four hundred forty-one thousand, forty".