4228761149856 has 240 divisors, whose sum is σ = 12802419358344. Its totient is φ = 1368309252096.

The previous prime is 4228761149813. The next prime is 4228761149927. The reversal of 4228761149856 is 6589411678224.

It is a happy number.

4228761149856 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 7 + 611 + 4 + 9 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4051927443600 + 176833706256 = 2012940^2 + 420516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4228761149793 and 4228761149802.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41475516 + ... + 41577348.

Almost surely, 2^{4228761149856} 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 4228761149856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401209679172).

4228761149856 is an abundant number, since it is smaller than the sum of its proper divisors (8573658208488).

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

4228761149856 is a wasteful number, since it uses less digits than its factorization.

4228761149856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102325 (or 102308 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 4228761149856 in words is "four trillion, two hundred twenty-eight billion, seven hundred sixty-one million, one hundred forty-nine thousand, eight hundred fifty-six".