42109138176 has 576 divisors, whose sum is σ = 142411530240. Its totient is φ = 10770186240.

The previous prime is 42109138153. The next prime is 42109138177. The reversal of 42109138176 is 67183190124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109138177) 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 63 ways as a sum of consecutive naturals, for example, 252150445 + ... + 252150611.

It is an arithmetic number, because the mean of its divisors is an integer number (247242240).

Almost surely, 2^42109138176 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 42109138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71205765120).

42109138176 is an abundant number, since it is smaller than the sum of its proper divisors (100302392064).

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

42109138176 is a wasteful number, since it uses less digits than its factorization.

42109138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 42109138176 in words is "forty-two billion, one hundred nine million, one hundred thirty-eight thousand, one hundred seventy-six".