4212177464881 has 81 divisors (see below), whose sum is σ = 4871299232163. Its totient is φ = 3641049054720.

The previous prime is 4212177464879. The next prime is 4212177464893. The reversal of 4212177464881 is 1884647712124.

The square root of 4212177464881 is 2052359.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3496095946225 + 716081518656 = 1869785^2 + 846216^2 .

It is not a de Polignac number, because 4212177464881 - 2¹ = 4212177464879 is a prime.

It is a super-2 number, since 2×4212177464881² (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 (4212177464681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23271698611 + ... + 23271698791.

Almost surely, 2^{4212177464881} is an apocalyptic number.

4212177464881 is the 2052359-th square number.

4212177464881 is the 1026180-th centered octagonal number.

It is an amenable number.

4212177464881 is a deficient number, since it is larger than the sum of its proper divisors (659121767282).

4212177464881 is an equidigital number, since it uses as much as digits as its factorization.

4212177464881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 55.

The spelling of 4212177464881 in words is "four trillion, two hundred twelve billion, one hundred seventy-seven million, four hundred sixty-four thousand, eight hundred eighty-one".