21011324401040 has 40 divisors (see below), whose sum is σ = 48925458838080. Its totient is φ = 8391776279936.

The previous prime is 21011324401037. The next prime is 21011324401063. The reversal of 21011324401040 is 4010442311012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 21011324400997 and 21011324401015.

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 7 ways as a sum of consecutive naturals, for example, 199220084 + ... + 199325523.

It is an arithmetic number, because the mean of its divisors is an integer number (1223136470952).

Almost surely, 2^{21011324401040} is an apocalyptic number.

21011324401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011324401040 is an abundant number, since it is smaller than the sum of its proper divisors (27914134437040).

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

21011324401040 is a wasteful number, since it uses less digits than its factorization.

21011324401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398546279 (or 398546273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21011324401040 its reverse (4010442311012), we get a palindrome (25021766712052).

The spelling of 21011324401040 in words is "twenty-one trillion, eleven billion, three hundred twenty-four million, four hundred one thousand, forty".