11424033000 has 96 divisors (see below), whose sum is σ = 38613261960. Its totient is φ = 3046406400.

The previous prime is 11424032951. The next prime is 11424033007. The reversal of 11424033000 is 33042411.

11424033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5097103236 + 6326929764 = 71394^2 + 79542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11424033007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625669 + ... + 643668.

Almost surely, 2^11424033000 is an apocalyptic number.

11424033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424033000 is an abundant number, since it is smaller than the sum of its proper divisors (27189228960).

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

11424033000 is a wasteful number, since it uses less digits than its factorization.

11424033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269364 (or 1269347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11424033000 its reverse (33042411), we get a palindrome (11457075411).

The spelling of 11424033000 in words is "eleven billion, four hundred twenty-four million, thirty-three thousand".