20101401414441 has 20 divisors (see below), whose sum is σ = 30028252412752. Its totient is φ = 13400830285848.

The previous prime is 20101401414427. The next prime is 20101401414461. The reversal of 20101401414441 is 14441410410102.

20101401414441 is a `hidden beast` number, since 201 + 0 + 1 + 4 + 0 + 1 + 4 + 14 + 441 = 666.

It is not a de Polignac number, because 20101401414441 - 2⁶ = 20101401414377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101401414461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10356090 + ... + 12142956.

Almost surely, 2^{20101401414441} is an apocalyptic number.

It is an amenable number.

20101401414441 is a deficient number, since it is larger than the sum of its proper divisors (9926850998311).

20101401414441 is a wasteful number, since it uses less digits than its factorization.

20101401414441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925762 (or 1925753 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 20101401414441 its reverse (14441410410102), we get a palindrome (34542811824543).

The spelling of 20101401414441 in words is "twenty trillion, one hundred one billion, four hundred one million, four hundred fourteen thousand, four hundred forty-one".