4261851224064 has 768 divisors, whose sum is σ = 14991814656000. Its totient is φ = 1170625167360.

The previous prime is 4261851224063. The next prime is 4261851224089. The reversal of 4261851224064 is 4604221581624.

4261851224064 is a `hidden beast` number, since 4 + 2 + 618 + 5 + 1 + 2 + 24 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261851224063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1955873727 + ... + 1955875905.

It is an arithmetic number, because the mean of its divisors is an integer number (19520592000).

Almost surely, 2^{4261851224064} 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 4261851224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495907328000).

4261851224064 is an abundant number, since it is smaller than the sum of its proper divisors (10729963431936).

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

4261851224064 is a wasteful number, since it uses less digits than its factorization.

4261851224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4261851224064 in words is "four trillion, two hundred sixty-one billion, eight hundred fifty-one million, two hundred twenty-four thousand, sixty-four".