4256098025760 has 288 divisors, whose sum is σ = 16729486405632. Its totient is φ = 965162096640.

The previous prime is 4256098025737. The next prime is 4256098025771. The reversal of 4256098025760 is 675208906524.

4256098025760 is a `hidden beast` number, since 4 + 2 + 5 + 60 + 9 + 8 + 0 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4256098025760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4256098025697 and 4256098025706.

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, 382171 + ... + 2942490.

It is an arithmetic number, because the mean of its divisors is an integer number (58088494464).

Almost surely, 2^{4256098025760} is an apocalyptic number.

4256098025760 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 4256098025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364743202816).

4256098025760 is an abundant number, since it is smaller than the sum of its proper divisors (12473388379872).

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

4256098025760 is a wasteful number, since it uses less digits than its factorization.

4256098025760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324816 (or 3324805 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4256098025760 in words is "four trillion, two hundred fifty-six billion, ninety-eight million, twenty-five thousand, seven hundred sixty".