7971630441 has 16 divisors (see below), whose sum is σ = 10778018304. Its totient is φ = 5239880064.

The previous prime is 7971630431. The next prime is 7971630493. The reversal of 7971630441 is 1440361797.

It is not a de Polignac number, because 7971630441 - 2¹³ = 7971622249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7971630393 and 7971630402.

It is not an unprimeable number, because it can be changed into a prime (7971630431) 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 15 ways as a sum of consecutive naturals, for example, 1248840 + ... + 1255206.

It is an arithmetic number, because the mean of its divisors is an integer number (673626144).

Almost surely, 2^7971630441 is an apocalyptic number.

It is an amenable number.

7971630441 is a deficient number, since it is larger than the sum of its proper divisors (2806387863).

7971630441 is a wasteful number, since it uses less digits than its factorization.

7971630441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 7971630441 is about 89283.9875957610. The cubic root of 7971630441 is about 1997.6330700096.

The spelling of 7971630441 in words is "seven billion, nine hundred seventy-one million, six hundred thirty thousand, four hundred forty-one".