4081272686656 has 105 divisors (see below), whose sum is σ = 8912868380095. Its totient is φ = 1854235053440.

The previous prime is 4081272686641. The next prime is 4081272686663. The reversal of 4081272686656 is 6566862721804.

The square root of 4081272686656 is 2020216.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4081272686594 and 4081272686603.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1955568045 + ... + 1955570131.

Almost surely, 2^{4081272686656} is an apocalyptic number.

4081272686656 is the 2020216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081272686656

4081272686656 is an abundant number, since it is smaller than the sum of its proper divisors (4831595693439).

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

4081272686656 is an frugal number, since it uses more digits than its factorization.

4081272686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 4081272686656 in words is "four trillion, eighty-one billion, two hundred seventy-two million, six hundred eighty-six thousand, six hundred fifty-six".