4259052804096 has 576 divisors, whose sum is σ = 13795568317440. Its totient is φ = 1307622113280.

The previous prime is 4259052804023. The next prime is 4259052804101. The reversal of 4259052804096 is 6904082509524.

4259052804096 is a `hidden beast` number, since 4 + 2 + 590 + 5 + 2 + 8 + 0 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397628181 + ... + 397638891.

It is an arithmetic number, because the mean of its divisors is an integer number (23950639440).

Almost surely, 2^{4259052804096} 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 4259052804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897784158720).

4259052804096 is an abundant number, since it is smaller than the sum of its proper divisors (9536515513344).

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

4259052804096 is a wasteful number, since it uses less digits than its factorization.

4259052804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4259052804096 in words is "four trillion, two hundred fifty-nine billion, fifty-two million, eight hundred four thousand, ninety-six".