4182825921330 has 128 divisors (see below), whose sum is σ = 11903107645440. Its totient is φ = 920536485120.

The previous prime is 4182825921311. The next prime is 4182825921331. The reversal of 4182825921330 is 331295282814.

It is a super-4 number, since 4×4182825921330⁴ (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 4182825921330.

It is not an unprimeable number, because it can be changed into a prime (4182825921331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348300 + ... + 2913239.

It is an arithmetic number, because the mean of its divisors is an integer number (92993028480).

Almost surely, 2^{4182825921330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182825921330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951553822720).

4182825921330 is an abundant number, since it is smaller than the sum of its proper divisors (7720281724110).

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

4182825921330 is a wasteful number, since it uses less digits than its factorization.

4182825921330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261784.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4182825921330 in words is "four trillion, one hundred eighty-two billion, eight hundred twenty-five million, nine hundred twenty-one thousand, three hundred thirty".