20406742641 has 32 divisors (see below), whose sum is σ = 30459997440. Its totient is φ = 13502160000.

The previous prime is 20406742621. The next prime is 20406742669. The reversal of 20406742641 is 14624760402.

20406742641 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 7 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 20406742641 - 2¹³ = 20406734449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20406742596 and 20406742605.

It is not an unprimeable number, because it can be changed into a prime (20406742621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7749061 + ... + 7751693.

It is an arithmetic number, because the mean of its divisors is an integer number (951874920).

Almost surely, 2^20406742641 is an apocalyptic number.

It is an amenable number.

20406742641 is a deficient number, since it is larger than the sum of its proper divisors (10053254799).

20406742641 is a wasteful number, since it uses less digits than its factorization.

20406742641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20406742641 in words is "twenty billion, four hundred six million, seven hundred forty-two thousand, six hundred forty-one".