42013746875100 has 1152 divisors, whose sum is σ = 168287960881152. Its totient is φ = 7809741619200.

The previous prime is 42013746875053. The next prime is 42013746875143. The reversal of 42013746875100 is 157864731024.

42013746875100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42013746875100.

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 383 ways as a sum of consecutive naturals, for example, 2855545344 + ... + 2855560056.

It is an arithmetic number, because the mean of its divisors is an integer number (146083299376).

Almost surely, 2^{42013746875100} 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 42013746875100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84143980440576).

42013746875100 is an abundant number, since it is smaller than the sum of its proper divisors (126274214006052).

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

42013746875100 is a wasteful number, since it uses less digits than its factorization.

42013746875100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055 (or 15048 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 42013746875100 in words is "forty-two trillion, thirteen billion, seven hundred forty-six million, eight hundred seventy-five thousand, one hundred".