4268241686016 has 2560 divisors, whose sum is σ = 17441740800000. Its totient is φ = 1018339983360.

The previous prime is 4268241685901. The next prime is 4268241686029. The reversal of 4268241686016 is 6106861428624.

4268241686016 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 24 + 1 + 6 + 8 + 601 + 6 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58469064156 + ... + 58469064228.

It is an arithmetic number, because the mean of its divisors is an integer number (6813180000).

Almost surely, 2^{4268241686016} 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 4268241686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720870400000).

4268241686016 is an abundant number, since it is smaller than the sum of its proper divisors (13173499113984).

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

4268241686016 is a wasteful number, since it uses less digits than its factorization.

4268241686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4268241686016 in words is "four trillion, two hundred sixty-eight billion, two hundred forty-one million, six hundred eighty-six thousand, sixteen".