1041080832 has 480 divisors, whose sum is σ = 3676907520. Its totient is φ = 279797760.

The previous prime is 1041080827. The next prime is 1041080857. The reversal of 1041080832 is 2380801401.

It is a junction number, because it is equal to n+sod(n) for n = 1041080796 and 1041080805.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22150633 + ... + 22150679.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^1041080832 is an apocalyptic number.

1041080832 is a gapful number since it is divisible by the number (12) 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 1041080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

1041080832 is an abundant number, since it is smaller than the sum of its proper divisors (2635826688).

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

1041080832 is a wasteful number, since it uses less digits than its factorization.

1041080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1041080832 is about 32265.7842303577. The cubic root of 1041080832 is about 1013.5102615042.

The spelling of 1041080832 in words is "one billion, forty-one million, eighty thousand, eight hundred thirty-two".