4256641643184 has 480 divisors, whose sum is σ = 14753505715200. Its totient is φ = 1170777162240.

The previous prime is 4256641643179. The next prime is 4256641643197. The reversal of 4256641643184 is 4813461466524.

4256641643184 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 6 + 416 + 43 + 184 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4256641643184.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60653587 + ... + 60723725.

It is an arithmetic number, because the mean of its divisors is an integer number (30736470240).

Almost surely, 2^{4256641643184} 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 4256641643184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376752857600).

4256641643184 is an abundant number, since it is smaller than the sum of its proper divisors (10496864072016).

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

4256641643184 is a wasteful number, since it uses less digits than its factorization.

4256641643184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70278 (or 70259 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 4256641643184 in words is "four trillion, two hundred fifty-six billion, six hundred forty-one million, six hundred forty-three thousand, one hundred eighty-four".