4101471493681 has 27 divisors (see below), whose sum is σ = 4211951939307. Its totient is φ = 3993874164720.

The previous prime is 4101471493619. The next prime is 4101471493723. The reversal of 4101471493681 is 1863941741014.

It is a happy number.

The square root of 4101471493681 is 2025209.

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

It can be written as a sum of positive squares in only one way, i.e., 45194933281 + 4056276560400 = 212591^2 + 2014020^2 .

It is not a de Polignac number, because 4101471493681 - 2¹¹ = 4101471491633 is a prime.

It is a super-2 number, since 2×4101471493681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4101471493981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22660063411 + ... + 22660063591.

Almost surely, 2^{4101471493681} is an apocalyptic number.

4101471493681 is the 2025209-th square number.

4101471493681 is the 1012605-th centered octagonal number.

It is an amenable number.

4101471493681 is a deficient number, since it is larger than the sum of its proper divisors (110480445626).

4101471493681 is an frugal number, since it uses more digits than its factorization.

4101471493681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 4101471493681 by its sum of digits (49), we get a square (200972103190369 = 14176463²).

The spelling of 4101471493681 in words is "four trillion, one hundred one billion, four hundred seventy-one million, four hundred ninety-three thousand, six hundred eighty-one".