13820406241 has 8 divisors (see below), whose sum is σ = 15028868520. Its totient is φ = 12655888128.

The previous prime is 13820406227. The next prime is 13820406247. The reversal of 13820406241 is 14260402831.

It can be written as a sum of positive squares in 4 ways, for example, as 5260455841 + 8559950400 = 72529^2 + 92520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13820406241 - 2¹⁵ = 13820373473 is a prime.

It is a super-3 number, since 3×13820406241³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13820406247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10985386 + ... + 10986643.

It is an arithmetic number, because the mean of its divisors is an integer number (1878608565).

Almost surely, 2^13820406241 is an apocalyptic number.

It is an amenable number.

13820406241 is a deficient number, since it is larger than the sum of its proper divisors (1208462279).

13820406241 is a wasteful number, since it uses less digits than its factorization.

13820406241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972083.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 13820406241 in words is "thirteen billion, eight hundred twenty million, four hundred six thousand, two hundred forty-one".