4256729774080 has 384 divisors, whose sum is σ = 12219452743680. Its totient is φ = 1392427008000.

The previous prime is 4256729773999. The next prime is 4256729774081. The reversal of 4256729774080 is 804779276524.

4256729774080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256729774081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157754190 + ... + 157781170.

It is an arithmetic number, because the mean of its divisors is an integer number (31821491520).

Almost surely, 2^{4256729774080} is an apocalyptic number.

4256729774080 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 4256729774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109726371840).

4256729774080 is an abundant number, since it is smaller than the sum of its proper divisors (7962722969600).

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

4256729774080 is a wasteful number, since it uses less digits than its factorization.

4256729774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27117 (or 27097 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 61.

The spelling of 4256729774080 in words is "four trillion, two hundred fifty-six billion, seven hundred twenty-nine million, seven hundred seventy-four thousand, eighty".