42107973120 has 720 divisors, whose sum is σ = 159466713120. Its totient is φ = 10642046976.

The previous prime is 42107973073. The next prime is 42107973161. The reversal of 42107973120 is 2137970124.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386311626 + ... + 386311734.

It is an arithmetic number, because the mean of its divisors is an integer number (221481546).

Almost surely, 2^42107973120 is an apocalyptic number.

42107973120 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 42107973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79733356560).

42107973120 is an abundant number, since it is smaller than the sum of its proper divisors (117358740000).

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

42107973120 is an frugal number, since it uses more digits than its factorization.

42107973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 42107973120 in words is "forty-two billion, one hundred seven million, nine hundred seventy-three thousand, one hundred twenty".