4226477101056 has 416 divisors, whose sum is σ = 14361797971200. Its totient is φ = 1203205570560.

The previous prime is 4226477101027. The next prime is 4226477101157. The reversal of 4226477101056 is 6501017746224.

4226477101056 is a `hidden beast` number, since 4 + 2 + 26 + 477 + 101 + 0 + 56 = 666.

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, 217524750 + ... + 217544178.

Almost surely, 2^{4226477101056} 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 4226477101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180898985600).

4226477101056 is an abundant number, since it is smaller than the sum of its proper divisors (10135320870144).

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

4226477101056 is a wasteful number, since it uses less digits than its factorization.

4226477101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4226477101056 in words is "four trillion, two hundred twenty-six billion, four hundred seventy-seven million, one hundred one thousand, fifty-six".