20958642441 has 81 divisors (see below), whose sum is σ = 34429077319. Its totient is φ = 12276580800.

The previous prime is 20958642431. The next prime is 20958642469. The reversal of 20958642441 is 14424685902.

It is a happy number.

The square root of 20958642441 is 144771.

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

20958642441 is a `hidden beast` number, since 2 + 0 + 9 + 586 + 4 + 24 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1009904841 + 19948737600 = 31779^2 + 141240^2 .

It is not a de Polignac number, because 20958642441 - 2⁹ = 20958641929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20958642421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195875110 + ... + 195875216.

Almost surely, 2^20958642441 is an apocalyptic number.

20958642441 is the 144771-st square number.

20958642441 is the 72386-th centered octagonal number.

It is an amenable number.

20958642441 is a deficient number, since it is larger than the sum of its proper divisors (13470434878).

20958642441 is a wasteful number, since it uses less digits than its factorization.

20958642441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20958642441 in words is "twenty billion, nine hundred fifty-eight million, six hundred forty-two thousand, four hundred forty-one".