32442410314104 has 256 divisors, whose sum is σ = 96871662720000. Its totient is φ = 8861469327360.

The previous prime is 32442410314099. The next prime is 32442410314123. The reversal of 32442410314104 is 40141301424423.

It is a happy number.

It is a super-3 number, since 3×32442410314104³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 127073172 + ... + 127328220.

It is an arithmetic number, because the mean of its divisors is an integer number (378404932500).

Almost surely, 2^{32442410314104} 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 32442410314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48435831360000).

32442410314104 is an abundant number, since it is smaller than the sum of its proper divisors (64429252405896).

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

32442410314104 is a wasteful number, since it uses less digits than its factorization.

32442410314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255478 (or 255474 counting only the distinct ones).

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

Adding to 32442410314104 its reverse (40141301424423), we get a palindrome (72583711738527).

The spelling of 32442410314104 in words is "thirty-two trillion, four hundred forty-two billion, four hundred ten million, three hundred fourteen thousand, one hundred four".