33422442400 has 36 divisors (see below), whose sum is σ = 81592539462. Its totient is φ = 13368976640.

The previous prime is 33422442353. The next prime is 33422442409. The reversal of 33422442400 is 424422433.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26299757584 + 7122684816 = 162172^2 + 84396^2 .

It is a super-2 number, since 2×33422442400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33422442409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20888227 + ... + 20889826.

Almost surely, 2^33422442400 is an apocalyptic number.

It is an amenable number.

33422442400 is an abundant number, since it is smaller than the sum of its proper divisors (48170097062).

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

33422442400 is a wasteful number, since it uses less digits than its factorization.

33422442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41778073 (or 41778060 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 33422442400 its reverse (424422433), we get a palindrome (33846864833).

The spelling of 33422442400 in words is "thirty-three billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred".