4256204216220 has 288 divisors, whose sum is σ = 14227480612800. Its totient is φ = 1021351034880.

The previous prime is 4256204216213. The next prime is 4256204216261. The reversal of 4256204216220 is 226124026524.

4256204216220 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 2 + 0 + 4 + 21 + 622 + 0 = 666.

It is a super-2 number, since 2×4256204216220² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95732556 + ... + 95777004.

It is an arithmetic number, because the mean of its divisors is an integer number (49400974350).

Almost surely, 2^{4256204216220} 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 4256204216220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113740306400).

4256204216220 is an abundant number, since it is smaller than the sum of its proper divisors (9971276396580).

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

4256204216220 is a wasteful number, since it uses less digits than its factorization.

4256204216220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44965 (or 44960 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4256204216220 in words is "four trillion, two hundred fifty-six billion, two hundred four million, two hundred sixteen thousand, two hundred twenty".