4259282227200 has 4992 divisors, whose sum is σ = 22387300454400. Its totient is φ = 773967052800.

The previous prime is 4259282227163. The next prime is 4259282227201. The reversal of 4259282227200 is 27222829524.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4259282227201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 224172748791 + ... + 224172748809.

Almost surely, 2^{4259282227200} is an apocalyptic number.

4259282227200 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 4259282227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193650227200).

4259282227200 is an abundant number, since it is smaller than the sum of its proper divisors (18128018227200).

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

4259282227200 is a wasteful number, since it uses less digits than its factorization.

4259282227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4259282227200 in words is "four trillion, two hundred fifty-nine billion, two hundred eighty-two million, two hundred twenty-seven thousand, two hundred".