1032000041 has 16 divisors (see below), whose sum is σ = 1108080000. Its totient is φ = 958624128.

The previous prime is 1032000037. The next prime is 1032000077. The reversal of 1032000041 is 1400002301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1032000041 - 2² = 1032000037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031999986 and 1032000031.

It is not an unprimeable number, because it can be changed into a prime (1032000001) 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 15 ways as a sum of consecutive naturals, for example, 687710 + ... + 689208.

It is an arithmetic number, because the mean of its divisors is an integer number (69255000).

Almost surely, 2^1032000041 is an apocalyptic number.

It is an amenable number.

1032000041 is a deficient number, since it is larger than the sum of its proper divisors (76079959).

1032000041 is a wasteful number, since it uses less digits than its factorization.

1032000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1032000041 is about 32124.7574465551. The cubic root of 1032000041 is about 1010.5548828244.

Adding to 1032000041 its reverse (1400002301), we get a palindrome (2432002342).

The spelling of 1032000041 in words is "one billion, thirty-two million, forty-one", and thus it is an aban number and an uban number.