33240040224 has 96 divisors (see below), whose sum is σ = 88224837120. Its totient is φ = 10957320192.

The previous prime is 33240040187. The next prime is 33240040231. The reversal of 33240040224 is 42204004233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33240040224² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33240040194 and 33240040203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5192994 + ... + 5199390.

It is an arithmetic number, because the mean of its divisors is an integer number (919008720).

Almost surely, 2^33240040224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33240040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44112418560).

33240040224 is an abundant number, since it is smaller than the sum of its proper divisors (54984796896).

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

33240040224 is a wasteful number, since it uses less digits than its factorization.

33240040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 33240040224 its reverse (42204004233), we get a palindrome (75444044457).

The spelling of 33240040224 in words is "thirty-three billion, two hundred forty million, forty thousand, two hundred twenty-four".