42364114635320 has 128 divisors (see below), whose sum is σ = 97233328558080. Its totient is φ = 16608478656000.

The previous prime is 42364114635313. The next prime is 42364114635361. The reversal of 42364114635320 is 2353641146324.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 329384225 + ... + 329512815.

It is an arithmetic number, because the mean of its divisors is an integer number (759635379360).

Almost surely, 2^{42364114635320} is an apocalyptic number.

42364114635320 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 42364114635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48616664279040).

42364114635320 is an abundant number, since it is smaller than the sum of its proper divisors (54869213922760).

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

42364114635320 is a wasteful number, since it uses less digits than its factorization.

42364114635320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129357 (or 129353 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 42364114635320 in words is "forty-two trillion, three hundred sixty-four billion, one hundred fourteen million, six hundred thirty-five thousand, three hundred twenty".