4256166240 has 432 divisors, whose sum is σ = 15929851392. Its totient is φ = 1031159808.

The previous prime is 4256166227. The next prime is 4256166247. The reversal of 4256166240 is 426616524.

4256166240 is a `hidden beast` number, since 4 + 25 + 6 + 1 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×4256166240² = 36229902125031475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4256166195 and 4256166204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256166247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33513057 + ... + 33513183.

It is an arithmetic number, because the mean of its divisors is an integer number (36874656).

Almost surely, 2^4256166240 is an apocalyptic number.

4256166240 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 4256166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964925696).

4256166240 is an abundant number, since it is smaller than the sum of its proper divisors (11673685152).

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

4256166240 is a wasteful number, since it uses less digits than its factorization.

4256166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4256166240 is about 65239.2998123064. The cubic root of 4256166240 is about 1620.5889034081.

It can be divided in two parts, 42561 and 66240, that added together give a palindrome (108801).

The spelling of 4256166240 in words is "four billion, two hundred fifty-six million, one hundred sixty-six thousand, two hundred forty".