33422430330000 has 400 divisors, whose sum is σ = 121911991924800. Its totient is φ = 8761582080000.

The previous prime is 33422430329987. The next prime is 33422430330011. The reversal of 33422430330000 is 3303422433.

33422430330000 is a `hidden beast` number, since 3 + 34 + 2 + 24 + 303 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×33422430330000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14880960 + ... + 16979040.

It is an arithmetic number, because the mean of its divisors is an integer number (304779979812).

Almost surely, 2^{33422430330000} is an apocalyptic number.

33422430330000 is a gapful number since it is divisible by the number (30) 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 33422430330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60955995962400).

33422430330000 is an abundant number, since it is smaller than the sum of its proper divisors (88489561594800).

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

33422430330000 is a wasteful number, since it uses less digits than its factorization.

33422430330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098177 (or 2098150 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 33422430330000 its reverse (3303422433), we get a palindrome (33425733752433).

The spelling of 33422430330000 in words is "thirty-three trillion, four hundred twenty-two billion, four hundred thirty million, three hundred thirty thousand".