1032133440 has 224 divisors, whose sum is σ = 3555772416. Its totient is φ = 252149760.

The previous prime is 1032133391. The next prime is 1032133451. The reversal of 1032133440 is 443312301.

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 31 ways as a sum of consecutive naturals, for example, 2383464 + ... + 2383896.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^1032133440 is an apocalyptic number.

1032133440 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 1032133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777886208).

1032133440 is an abundant number, since it is smaller than the sum of its proper divisors (2523638976).

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

1032133440 is a wasteful number, since it uses less digits than its factorization.

1032133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1032133440 is about 32126.8336441673. The cubic root of 1032133440 is about 1010.5984232628.

Adding to 1032133440 its reverse (443312301), we get a palindrome (1475445741).

The spelling of 1032133440 in words is "one billion, thirty-two million, one hundred thirty-three thousand, four hundred forty".