4177421856961 has 2 divisors, whose sum is σ = 4177421856962. Its totient is φ = 4177421856960.

The previous prime is 4177421856953. The next prime is 4177421856989. The reversal of 4177421856961 is 1696581247714.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2530899174400 + 1646522682561 = 1590880^2 + 1283169^2 .

It is a cyclic number.

It is not a de Polignac number, because 4177421856961 - 2³ = 4177421856953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4177421856961.

It is not a weakly prime, because it can be changed into another prime (4177421856931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2088710928480 + 2088710928481.

It is an arithmetic number, because the mean of its divisors is an integer number (2088710928481).

Almost surely, 2^{4177421856961} is an apocalyptic number.

It is an amenable number.

4177421856961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4177421856961 is an equidigital number, since it uses as much as digits as its factorization.

4177421856961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20321280, while the sum is 61.

The spelling of 4177421856961 in words is "four trillion, one hundred seventy-seven billion, four hundred twenty-one million, eight hundred fifty-six thousand, nine hundred sixty-one".