4456307417121 has 36 divisors (see below), whose sum is σ = 7491157974612. Its totient is φ = 2545322480064.

The previous prime is 4456307417117. The next prime is 4456307417143. The reversal of 4456307417121 is 1217147036544.

4456307417121 is a `hidden beast` number, since 4 + 4 + 5 + 630 + 7 + 4 + 1 + 7 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3223141586721 + 1233165830400 = 1795311^2 + 1110480^2 .

It is not a de Polignac number, because 4456307417121 - 2² = 4456307417117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4456307497121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1272090 + ... + 3245123.

It is an arithmetic number, because the mean of its divisors is an integer number (208087721517).

Almost surely, 2^{4456307417121} is an apocalyptic number.

It is an amenable number.

4456307417121 is a deficient number, since it is larger than the sum of its proper divisors (3034850557491).

4456307417121 is a wasteful number, since it uses less digits than its factorization.

4456307417121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519470 (or 4519460 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4456307417121 in words is "four trillion, four hundred fifty-six billion, three hundred seven million, four hundred seventeen thousand, one hundred twenty-one".