4265839564800 has 576 divisors, whose sum is σ = 15502531524480. Its totient is φ = 1026195456000.

The previous prime is 4265839564799. The next prime is 4265839564829. The reversal of 4265839564800 is 84659385624.

It is a happy number.

It is a super-2 number, since 2×4265839564800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221327964 + ... + 221347236.

It is an arithmetic number, because the mean of its divisors is an integer number (26914117230).

Almost surely, 2^{4265839564800} is an apocalyptic number.

4265839564800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4265839564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751265762240).

4265839564800 is an abundant number, since it is smaller than the sum of its proper divisors (11236691959680).

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

4265839564800 is a wasteful number, since it uses less digits than its factorization.

4265839564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19450 (or 19425 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 4265839564800 in words is "four trillion, two hundred sixty-five billion, eight hundred thirty-nine million, five hundred sixty-four thousand, eight hundred".