7961814441 has 45 divisors (see below), whose sum is σ = 13438472541. Its totient is φ = 4542113016.

The previous prime is 7961814433. The next prime is 7961814457. The reversal of 7961814441 is 1444181697.

The square root of 7961814441 is 89229.

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

7961814441 is a `hidden beast` number, since 79 + 61 + 81 + 4 + 441 = 666.

7961814441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7961814441 - 2³ = 7961814433 is a prime.

It is a super-2 number, since 2×7961814441² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7961814461) 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 44 ways as a sum of consecutive naturals, for example, 13116360 + ... + 13116966.

Almost surely, 2^7961814441 is an apocalyptic number.

7961814441 is the 89229-th square number.

7961814441 is the 44615-th centered octagonal number.

It is an amenable number.

7961814441 is a deficient number, since it is larger than the sum of its proper divisors (5476658100).

7961814441 is an frugal number, since it uses more digits than its factorization.

7961814441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 617 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The cubic root of 7961814441 is about 1996.8127936392.

The spelling of 7961814441 in words is "seven billion, nine hundred sixty-one million, eight hundred fourteen thousand, four hundred forty-one".