1033234440 has 256 divisors, whose sum is σ = 3822336000. Its totient is φ = 218142720.

The previous prime is 1033234429. The next prime is 1033234441. The reversal of 1033234440 is 444323301.

It is a super-2 number, since 2×1033234440² = 2135146816004227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1033234440.

It is not an unprimeable number, because it can be changed into a prime (1033234441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653571 + ... + 655149.

It is an arithmetic number, because the mean of its divisors is an integer number (14931000).

Almost surely, 2^1033234440 is an apocalyptic number.

1033234440 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 1033234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911168000).

1033234440 is an abundant number, since it is smaller than the sum of its proper divisors (2789101560).

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

1033234440 is a wasteful number, since it uses less digits than its factorization.

1033234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1033234440 is about 32143.9642856944. The cubic root of 1033234440 is about 1010.9576382696.

Adding to 1033234440 its reverse (444323301), we get a palindrome (1477557741).

The spelling of 1033234440 in words is "one billion, thirty-three million, two hundred thirty-four thousand, four hundred forty".