4274722305504 has 384 divisors, whose sum is σ = 14395558625280. Its totient is φ = 1208839790592.

The previous prime is 4274722305461. The next prime is 4274722305509. The reversal of 4274722305504 is 4055032274724.

4274722305504 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 72 + 23 + 0 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4274722305504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274722305509) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 332579142 + ... + 332591994.

It is an arithmetic number, because the mean of its divisors is an integer number (37488433920).

Almost surely, 2^{4274722305504} 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 4274722305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197779312640).

4274722305504 is an abundant number, since it is smaller than the sum of its proper divisors (10120836319776).

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

4274722305504 is a wasteful number, since it uses less digits than its factorization.

4274722305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13439 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 4274722305504 in words is "four trillion, two hundred seventy-four billion, seven hundred twenty-two million, three hundred five thousand, five hundred four".