4116377281 has 9 divisors (see below), whose sum is σ = 4171966819. Its totient is φ = 4061521336.

The previous prime is 4116377273. The next prime is 4116377323. The reversal of 4116377281 is 1827736114.

It is a happy number.

The square root of 4116377281 is 64159.

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., 261954225 + 3854423056 = 16185^2 + 62084^2 .

It is not a de Polignac number, because 4116377281 - 2³ = 4116377273 is a prime.

It is a super-2 number, since 2×4116377281² = 33889123839065905922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4116377201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5324811 + ... + 5325583.

Almost surely, 2^4116377281 is an apocalyptic number.

4116377281 is the 64159-th square number.

4116377281 is the 32080-th centered octagonal number.

It is an amenable number.

4116377281 is a deficient number, since it is larger than the sum of its proper divisors (55589538).

4116377281 is an frugal number, since it uses more digits than its factorization.

4116377281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 856 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The cubic root of 4116377281 is about 1602.6489039442.

The spelling of 4116377281 in words is "four billion, one hundred sixteen million, three hundred seventy-seven thousand, two hundred eighty-one".