4225423581504 has 252 divisors, whose sum is σ = 13094198650260. Its totient is φ = 1301796679680.

The previous prime is 4225423581461. The next prime is 4225423581553. The reversal of 4225423581504 is 4051853245224.

4225423581504 is a `hidden beast` number, since 4 + 2 + 2 + 542 + 3 + 58 + 1 + 50 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499566240000 + 3725857341504 = 706800^2 + 1930248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4225423581504.

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 35 ways as a sum of consecutive naturals, for example, 8277562 + ... + 8773190.

It is an arithmetic number, because the mean of its divisors is an integer number (51961105755).

Almost surely, 2^{4225423581504} 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 4225423581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547099325130).

4225423581504 is an abundant number, since it is smaller than the sum of its proper divisors (8868775068756).

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

4225423581504 is a wasteful number, since it uses less digits than its factorization.

4225423581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495726 (or 495694 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 4225423581504 in words is "four trillion, two hundred twenty-five billion, four hundred twenty-three million, five hundred eighty-one thousand, five hundred four".