4221834012132 has 96 divisors (see below), whose sum is σ = 10812550963200. Its totient is φ = 1271501971200.

The previous prime is 4221834012127. The next prime is 4221834012161. The reversal of 4221834012132 is 2312104381224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4221834012093 and 4221834012102.

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, 14486469 + ... + 14775027.

It is an arithmetic number, because the mean of its divisors is an integer number (112630739200).

Almost surely, 2^{4221834012132} 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 4221834012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406275481600).

4221834012132 is an abundant number, since it is smaller than the sum of its proper divisors (6590716951068).

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

4221834012132 is a wasteful number, since it uses less digits than its factorization.

4221834012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289257 (or 289255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 4221834012132 its reverse (2312104381224), we get a palindrome (6533938393356).

The spelling of 4221834012132 in words is "four trillion, two hundred twenty-one billion, eight hundred thirty-four million, twelve thousand, one hundred thirty-two".