4261677056 has 144 divisors (see below), whose sum is σ = 10551340800. Its totient is φ = 1684979712.

The previous prime is 4261677031. The next prime is 4261677059. The reversal of 4261677056 is 6507761624.

It is a junction number, because it is equal to n+sod(n) for n = 4261676998 and 4261677016.

It is not an unprimeable number, because it can be changed into a prime (4261677059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2421905 + ... + 2423663.

It is an arithmetic number, because the mean of its divisors is an integer number (73273200).

Almost surely, 2^4261677056 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 4261677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275670400).

4261677056 is an abundant number, since it is smaller than the sum of its proper divisors (6289663744).

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

4261677056 is a wasteful number, since it uses less digits than its factorization.

4261677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 4261677056 is about 65281.5215508952. The cubic root of 4261677056 is about 1621.2880392856.

The spelling of 4261677056 in words is "four billion, two hundred sixty-one million, six hundred seventy-seven thousand, fifty-six".