4256293257216 has 1904 divisors, whose sum is σ = 17328802538880. Its totient is φ = 1009023713280.

The previous prime is 4256293257187. The next prime is 4256293257253. The reversal of 4256293257216 is 6127523926524.

4256293257216 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 29 + 32 + 572 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47823519700 + ... + 47823519788.

Almost surely, 2^{4256293257216} 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 4256293257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664401269440).

4256293257216 is an abundant number, since it is smaller than the sum of its proper divisors (13072509281664).

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

4256293257216 is an frugal number, since it uses more digits than its factorization.

4256293257216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 4256293257216 in words is "four trillion, two hundred fifty-six billion, two hundred ninety-three million, two hundred fifty-seven thousand, two hundred sixteen".