4234022133200 has 30 divisors (see below), whose sum is σ = 10172238175974. Its totient is φ = 1693608853120.

The previous prime is 4234022133179. The next prime is 4234022133203. The reversal of 4234022133200 is 23312204324.

It can be written as a sum of positive squares in 3 ways, for example, as 953489755024 + 3280532378176 = 976468^2 + 1811224^2 .

It is a super-4 number, since 4×4234022133200⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4234022133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234022133203) 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, 5292527267 + ... + 5292528066.

Almost surely, 2^{4234022133200} is an apocalyptic number.

4234022133200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234022133200 is an abundant number, since it is smaller than the sum of its proper divisors (5938216042774).

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

4234022133200 is a wasteful number, since it uses less digits than its factorization.

4234022133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585055351 (or 10585055340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4234022133200 its reverse (23312204324), we get a palindrome (4257334337524).

The spelling of 4234022133200 in words is "four trillion, two hundred thirty-four billion, twenty-two million, one hundred thirty-three thousand, two hundred".