4326225435120 has 640 divisors, whose sum is σ = 14372308684800. Its totient is φ = 1074942296064.

The previous prime is 4326225435043. The next prime is 4326225435137. The reversal of 4326225435120 is 215345226234.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5218606866 + ... + 5218607694.

It is an arithmetic number, because the mean of its divisors is an integer number (22456732320).

Almost surely, 2^{4326225435120} is an apocalyptic number.

4326225435120 is a gapful number since it is divisible by the number (40) 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 4326225435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186154342400).

4326225435120 is an abundant number, since it is smaller than the sum of its proper divisors (10046083249680).

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

4326225435120 is a wasteful number, since it uses less digits than its factorization.

4326225435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 4326225435120 in words is "four trillion, three hundred twenty-six billion, two hundred twenty-five million, four hundred thirty-five thousand, one hundred twenty".