42139077120 has 480 divisors, whose sum is σ = 172983178368. Its totient is φ = 9630793728.

The previous prime is 42139077119. The next prime is 42139077133. The reversal of 42139077120 is 2177093124.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 4349722 + ... + 4359398.

Almost surely, 2^42139077120 is an apocalyptic number.

42139077120 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 42139077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491589184).

42139077120 is an abundant number, since it is smaller than the sum of its proper divisors (130844101248).

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

42139077120 is an frugal number, since it uses more digits than its factorization.

42139077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9694 counting only the distinct ones).

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

The spelling of 42139077120 in words is "forty-two billion, one hundred thirty-nine million, seventy-seven thousand, one hundred twenty".