4091256000 has 896 divisors, whose sum is σ = 17041489920. Its totient is φ = 953856000.

The previous prime is 4091255999. The next prime is 4091256007. The reversal of 4091256000 is 6521904.

4091256000 is a `hidden beast` number, since 40 + 9 + 12 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4091256007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87047977 + ... + 87048023.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^4091256000 is an apocalyptic number.

4091256000 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 4091256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

4091256000 is an abundant number, since it is smaller than the sum of its proper divisors (12950233920).

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

4091256000 is a wasteful number, since it uses less digits than its factorization.

4091256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4091256000 is about 63962.9267623051. The cubic root of 4091256000 is about 1599.3820530359.

Adding to 4091256000 its reverse (6521904), we get a palindrome (4097777904).

The spelling of 4091256000 in words is "four billion, ninety-one million, two hundred fifty-six thousand".