32421344242144 has 192 divisors, whose sum is σ = 75737109127680. Its totient is φ = 13467636357120.

The previous prime is 32421344242109. The next prime is 32421344242187. The reversal of 32421344242144 is 44124244312423.

It is a super-2 number, since 2×32421344242144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32421344242097 and 32421344242106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384441554 + ... + 2384455150.

It is an arithmetic number, because the mean of its divisors is an integer number (394464110040).

Almost surely, 2^{32421344242144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32421344242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37868554563840).

32421344242144 is an abundant number, since it is smaller than the sum of its proper divisors (43315764885536).

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

32421344242144 is a wasteful number, since it uses less digits than its factorization.

32421344242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18793 (or 18785 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 32421344242144 its reverse (44124244312423), we get a palindrome (76545588554567).

The spelling of 32421344242144 in words is "thirty-two trillion, four hundred twenty-one billion, three hundred forty-four million, two hundred forty-two thousand, one hundred forty-four".