42234032123360 has 192 divisors, whose sum is σ = 124404285487104. Its totient is φ = 13163233689600.

The previous prime is 42234032123293. The next prime is 42234032123377. The reversal of 42234032123360 is 6332123043224.

42234032123360 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42234032123360.

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 31 ways as a sum of consecutive naturals, for example, 309422489 + ... + 309558951.

It is an arithmetic number, because the mean of its divisors is an integer number (647938986912).

Almost surely, 2^{42234032123360} is an apocalyptic number.

42234032123360 is a gapful number since it is divisible by the number (40) 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 42234032123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62202142743552).

42234032123360 is an abundant number, since it is smaller than the sum of its proper divisors (82170253363744).

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

42234032123360 is a wasteful number, since it uses less digits than its factorization.

42234032123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161617 (or 161609 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 42234032123360 its reverse (6332123043224), we get a palindrome (48566155166584).

The spelling of 42234032123360 in words is "forty-two trillion, two hundred thirty-four billion, thirty-two million, one hundred twenty-three thousand, three hundred sixty".