21411122202144 has 72 divisors (see below), whose sum is σ = 60893349180300. Its totient is φ = 7136399513088.

The previous prime is 21411122202139. The next prime is 21411122202157. The reversal of 21411122202144 is 44120222111412.

21411122202144 is a `hidden beast` number, since 2 + 1 + 411 + 1 + 2 + 2 + 202 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17796484713744 + 3614637488400 = 4218588^2 + 1901220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123207 + ... + 6545030.

Almost surely, 2^{21411122202144} is an apocalyptic number.

21411122202144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21411122202144 is an abundant number, since it is smaller than the sum of its proper divisors (39482226978156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21411122202144 is a wasteful number, since it uses less digits than its factorization.

21411122202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679402 (or 6679391 counting only the distinct ones).

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

Adding to 21411122202144 its reverse (44120222111412), we get a palindrome (65531344313556).

The spelling of 21411122202144 in words is "twenty-one trillion, four hundred eleven billion, one hundred twenty-two million, two hundred two thousand, one hundred forty-four".