1233133440 has 512 divisors, whose sum is σ = 5170176000. Its totient is φ = 242196480.

The previous prime is 1233133411. The next prime is 1233133441. The reversal of 1233133440 is 443313321.

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 1233133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233133441) 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, 2808741 + ... + 2809179.

It is an arithmetic number, because the mean of its divisors is an integer number (10098000).

Almost surely, 2^1233133440 is an apocalyptic number.

1233133440 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 1233133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585088000).

1233133440 is an abundant number, since it is smaller than the sum of its proper divisors (3937042560).

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

1233133440 is a wasteful number, since it uses less digits than its factorization.

1233133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1233133440 is about 35115.9997721836. Note that the first 3 decimals coincide. The cubic root of 1233133440 is about 1072.3503347428.

Adding to 1233133440 its reverse (443313321), we get a palindrome (1676446761).

The spelling of 1233133440 in words is "one billion, two hundred thirty-three million, one hundred thirty-three thousand, four hundred forty".