40101055006541 has 2 divisors, whose sum is σ = 40101055006542. Its totient is φ = 40101055006540.

The previous prime is 40101055006483. The next prime is 40101055006543. The reversal of 40101055006541 is 14560055010104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37982199220900 + 2118855785641 = 6162970^2 + 1455629^2 .

It is a cyclic number.

It is not a de Polignac number, because 40101055006541 - 2²² = 40101050812237 is a prime.

It is a super-2 number, since 2×40101055006541² (a number of 28 digits) contains 22 as substring.

Together with 40101055006543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40101055006498 and 40101055006507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40101055006543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20050527503270 + 20050527503271.

It is an arithmetic number, because the mean of its divisors is an integer number (20050527503271).

Almost surely, 2^{40101055006541} is an apocalyptic number.

It is an amenable number.

40101055006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

40101055006541 is an equidigital number, since it uses as much as digits as its factorization.

40101055006541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 40101055006541 in words is "forty trillion, one hundred one billion, fifty-five million, six thousand, five hundred forty-one".