1041410880 has 336 divisors, whose sum is σ = 3816979920. Its totient is φ = 260112384.

The previous prime is 1041410863. The next prime is 1041410893. The reversal of 1041410880 is 880141401.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 1038901824 = 1584^2 + 32232^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3090072 + ... + 3090408.

Almost surely, 2^1041410880 is an apocalyptic number.

1041410880 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 1041410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908489960).

1041410880 is an abundant number, since it is smaller than the sum of its proper divisors (2775569040).

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

1041410880 is a wasteful number, since it uses less digits than its factorization.

1041410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1041410880 is about 32270.8983451034. The cubic root of 1041410880 is about 1013.6173526738.

The spelling of 1041410880 in words is "one billion, forty-one million, four hundred ten thousand, eight hundred eighty".