4256105449344 has 384 divisors, whose sum is σ = 13275824720640. Its totient is φ = 1183444992000.

The previous prime is 4256105449307. The next prime is 4256105449361. The reversal of 4256105449344 is 4439445016524.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4256105449344² (a number of 26 digits) contains 22 as substring.

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, 2363189244 + ... + 2363191044.

It is an arithmetic number, because the mean of its divisors is an integer number (34572460210).

Almost surely, 2^{4256105449344} 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 4256105449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637912360320).

4256105449344 is an abundant number, since it is smaller than the sum of its proper divisors (9019719271296).

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

4256105449344 is a wasteful number, since it uses less digits than its factorization.

4256105449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 4256105449344 in words is "four trillion, two hundred fifty-six billion, one hundred five million, four hundred forty-nine thousand, three hundred forty-four".