20414408641 has 27 divisors (see below), whose sum is σ = 23241634689. Its totient is φ = 17917026600.

The previous prime is 20414408633. The next prime is 20414408647. The reversal of 20414408641 is 14680441402.

The square root of 20414408641 is 142879.

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

It is not a de Polignac number, because 20414408641 - 2³ = 20414408633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20414408597 and 20414408606.

It is not an unprimeable number, because it can be changed into a prime (20414408647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48721530 + ... + 48721948.

Almost surely, 2^20414408641 is an apocalyptic number.

20414408641 is the 142879-th square number.

20414408641 is the 71440-th centered octagonal number.

It is an amenable number.

20414408641 is a deficient number, since it is larger than the sum of its proper divisors (2827226048).

20414408641 is an frugal number, since it uses more digits than its factorization.

20414408641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 20414408641 in words is "twenty billion, four hundred fourteen million, four hundred eight thousand, six hundred forty-one".