211420040320041 has 96 divisors (see below), whose sum is σ = 336996854092800. Its totient is φ = 117510962083200.

The previous prime is 211420040320033. The next prime is 211420040320079. The reversal of 211420040320041 is 140023040024112.

It is not a de Polignac number, because 211420040320041 - 2³ = 211420040320033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211420040319993 and 211420040320020.

It is not an unprimeable number, because it can be changed into a prime (211420040360041) 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 95 ways as a sum of consecutive naturals, for example, 1351548130 + ... + 1351704548.

It is an arithmetic number, because the mean of its divisors is an integer number (3510383896800).

Almost surely, 2^{211420040320041} is an apocalyptic number.

211420040320041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211420040320041 is a deficient number, since it is larger than the sum of its proper divisors (125576813772759).

211420040320041 is a wasteful number, since it uses less digits than its factorization.

211420040320041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158139 (or 158132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211420040320041 its reverse (140023040024112), we get a palindrome (351443080344153).

The spelling of 211420040320041 in words is "two hundred eleven trillion, four hundred twenty billion, forty million, three hundred twenty thousand, forty-one".