4256162262288 has 160 divisors (see below), whose sum is σ = 12631248691200. Its totient is φ = 1370734876800.

The previous prime is 4256162262277. The next prime is 4256162262293. The reversal of 4256162262288 is 8822622616524.

4256162262288 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 1 + 6 + 2 + 2 + 622 + 8 + 8 = 666.

It is a super-2 number, since 2×4256162262288² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 8032933 + ... + 8546363.

It is an arithmetic number, because the mean of its divisors is an integer number (78945304320).

Almost surely, 2^{4256162262288} is an apocalyptic number.

4256162262288 is a gapful number since it is divisible by the number (48) 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 4256162262288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315624345600).

4256162262288 is an abundant number, since it is smaller than the sum of its proper divisors (8375086428912).

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

4256162262288 is a wasteful number, since it uses less digits than its factorization.

4256162262288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514098 (or 514086 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 4256162262288 in words is "four trillion, two hundred fifty-six billion, one hundred sixty-two million, two hundred sixty-two thousand, two hundred eighty-eight".