1032411040 has 96 divisors (see below), whose sum is σ = 2493288000. Its totient is φ = 403881984.

The previous prime is 1032410987. The next prime is 1032411043. The reversal of 1032411040 is 401142301.

1032411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1032411043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2068711 + ... + 2069209.

It is an arithmetic number, because the mean of its divisors is an integer number (25971750).

Almost surely, 2^1032411040 is an apocalyptic number.

1032411040 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 1032411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246644000).

1032411040 is an abundant number, since it is smaller than the sum of its proper divisors (1460876960).

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

1032411040 is a wasteful number, since it uses less digits than its factorization.

1032411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1032411040 is about 32131.1537296749. The cubic root of 1032411040 is about 1010.6890178067.

Adding to 1032411040 its reverse (401142301), we get a palindrome (1433553341).

The spelling of 1032411040 in words is "one billion, thirty-two million, four hundred eleven thousand, forty".