32402341113100 has 576 divisors, whose sum is σ = 87501119569920. Its totient is φ = 10171986739200.

The previous prime is 32402341113097. The next prime is 32402341113101. The reversal of 32402341113100 is 131114320423.

It is a super-2 number, since 2×32402341113100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (32402341113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20138185096 + ... + 20138186704.

It is an arithmetic number, because the mean of its divisors is an integer number (151911665920).

Almost surely, 2^{32402341113100} 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 32402341113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43750559784960).

32402341113100 is an abundant number, since it is smaller than the sum of its proper divisors (55098778456820).

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

32402341113100 is a wasteful number, since it uses less digits than its factorization.

32402341113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 32402341113100 its reverse (131114320423), we get a palindrome (32533455433523).

The spelling of 32402341113100 in words is "thirty-two trillion, four hundred two billion, three hundred forty-one million, one hundred thirteen thousand, one hundred".