32340141123420 has 576 divisors, whose sum is σ = 102800952576000. Its totient is φ = 7549693931520.

The previous prime is 32340141123419. The next prime is 32340141123427. The reversal of 32340141123420 is 2432114104323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340141123427) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8231136016 + ... + 8231139944.

It is an arithmetic number, because the mean of its divisors is an integer number (178473876000).

Almost surely, 2^{32340141123420} is an apocalyptic number.

32340141123420 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 32340141123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51400476288000).

32340141123420 is an abundant number, since it is smaller than the sum of its proper divisors (70460811452580).

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

32340141123420 is a wasteful number, since it uses less digits than its factorization.

32340141123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32340141123420 its reverse (2432114104323), we get a palindrome (34772255227743).

The spelling of 32340141123420 in words is "thirty-two trillion, three hundred forty billion, one hundred forty-one million, one hundred twenty-three thousand, four hundred twenty".