4274205889824 has 576 divisors, whose sum is σ = 14479521638400. Its totient is φ = 1182556717056.

The previous prime is 4274205889771. The next prime is 4274205889859. The reversal of 4274205889824 is 4289885024724.

4274205889824 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 20 + 588 + 9 + 8 + 24 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106556842 + ... + 2106558870.

It is an arithmetic number, because the mean of its divisors is an integer number (25138058400).

Almost surely, 2^{4274205889824} 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 4274205889824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239760819200).

4274205889824 is an abundant number, since it is smaller than the sum of its proper divisors (10205315748576).

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

4274205889824 is a wasteful number, since it uses less digits than its factorization.

4274205889824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 4274205889824 in words is "four trillion, two hundred seventy-four billion, two hundred five million, eight hundred eighty-nine thousand, eight hundred twenty-four".