4181877761296 has 225 divisors, whose sum is σ = 9064430188203. Its totient is φ = 1868933498880.

The previous prime is 4181877761197. The next prime is 4181877761407. The reversal of 4181877761296 is 6921677781814.

The square root of 4181877761296 is 2044964.

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

4181877761296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 4181354266896 + 523494400 = 2044836^2 + 22880^2 .

It is a super-2 number, since 2×4181877761296² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (56899584) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68555373106 + ... + 68555373166.

Almost surely, 2^{4181877761296} is an apocalyptic number.

4181877761296 is the 2044964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181877761296

4181877761296 is an abundant number, since it is smaller than the sum of its proper divisors (4882552426907).

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

4181877761296 is an frugal number, since it uses more digits than its factorization.

4181877761296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 109 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 67.

The spelling of 4181877761296 in words is "four trillion, one hundred eighty-one billion, eight hundred seventy-seven million, seven hundred sixty-one thousand, two hundred ninety-six".