21434344101024 has 96 divisors (see below), whose sum is σ = 56584009036800. Its totient is φ = 7104323865600.

The previous prime is 21434344101017. The next prime is 21434344101061. The reversal of 21434344101024 is 42010144343412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21434344101024² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42674902 + ... + 43174250.

It is an arithmetic number, because the mean of its divisors is an integer number (589416760800).

Almost surely, 2^{21434344101024} is an apocalyptic number.

21434344101024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21434344101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28292004518400).

21434344101024 is an abundant number, since it is smaller than the sum of its proper divisors (35149664935776).

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

21434344101024 is a wasteful number, since it uses less digits than its factorization.

21434344101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501894 (or 501886 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 21434344101024 its reverse (42010144343412), we get a palindrome (63444488444436).

The spelling of 21434344101024 in words is "twenty-one trillion, four hundred thirty-four billion, three hundred forty-four million, one hundred one thousand, twenty-four".