32421113213040 has 240 divisors, whose sum is σ = 110171180021760. Its totient is φ = 8543729026560.

The previous prime is 32421113213039. The next prime is 32421113213053. The reversal of 32421113213040 is 4031231112423.

32421113213040 is a `hidden beast` number, since 3 + 2 + 4 + 21 + 11 + 321 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×32421113213040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32421113212995 and 32421113213013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21823369 + ... + 23261591.

It is an arithmetic number, because the mean of its divisors is an integer number (459046583424).

Almost surely, 2^{32421113213040} is an apocalyptic number.

32421113213040 is a gapful number since it is divisible by the number (30) 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 32421113213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085590010880).

32421113213040 is an abundant number, since it is smaller than the sum of its proper divisors (77750066808720).

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

32421113213040 is a wasteful number, since it uses less digits than its factorization.

32421113213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438612 (or 1438603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 32421113213040 its reverse (4031231112423), we get a palindrome (36452344325463).

The spelling of 32421113213040 in words is "thirty-two trillion, four hundred twenty-one billion, one hundred thirteen million, two hundred thirteen thousand, forty".