22133024040 has 128 divisors (see below), whose sum is σ = 67187232000. Its totient is φ = 5832480768.

The previous prime is 22133024029. The next prime is 22133024077. The reversal of 22133024040 is 4042033122.

It is a junction number, because it is equal to n+sod(n) for n = 22133023998 and 22133024016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3761821 + ... + 3767699.

It is an arithmetic number, because the mean of its divisors is an integer number (524900250).

Almost surely, 2^22133024040 is an apocalyptic number.

22133024040 is a gapful number since it is divisible by the number (20) 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 22133024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593616000).

22133024040 is an abundant number, since it is smaller than the sum of its proper divisors (45054207960).

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

22133024040 is a wasteful number, since it uses less digits than its factorization.

22133024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22133024040 its reverse (4042033122), we get a palindrome (26175057162).

It can be divided in two parts, 221330240 and 40, that added together give a triangular number (221330280 = T₂₁₀₃₉).

The spelling of 22133024040 in words is "twenty-two billion, one hundred thirty-three million, twenty-four thousand, forty".