4971436461 has 12 divisors (see below), whose sum is σ = 7248076992. Its totient is φ = 3283315656.

The previous prime is 4971436423. The next prime is 4971436511. The reversal of 4971436461 is 1646341794.

4971436461 is a `hidden beast` number, since 49 + 7 + 143 + 6 + 461 = 666.

It is not a de Polignac number, because 4971436461 - 2⁷ = 4971436333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971436061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2580261 + ... + 2582186.

It is an arithmetic number, because the mean of its divisors is an integer number (604006416).

Almost surely, 2^4971436461 is an apocalyptic number.

It is an amenable number.

4971436461 is a deficient number, since it is larger than the sum of its proper divisors (2276640531).

4971436461 is a wasteful number, since it uses less digits than its factorization.

4971436461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162560 (or 5162557 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4971436461 is about 70508.4141149126. The cubic root of 4971436461 is about 1706.7135287112.

The spelling of 4971436461 in words is "four billion, nine hundred seventy-one million, four hundred thirty-six thousand, four hundred sixty-one".