42095073504 has 96 divisors (see below), whose sum is σ = 120825976320. Its totient is φ = 12726348800.

The previous prime is 42095073479. The next prime is 42095073521. The reversal of 42095073504 is 40537059024.

42095073504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408892 + ... + 501380.

It is an arithmetic number, because the mean of its divisors is an integer number (1258603920).

Almost surely, 2^42095073504 is an apocalyptic number.

42095073504 is a gapful number since it is divisible by the number (44) 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 42095073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60412988160).

42095073504 is an abundant number, since it is smaller than the sum of its proper divisors (78730902816).

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

42095073504 is a wasteful number, since it uses less digits than its factorization.

42095073504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92944 (or 92936 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 42095073504 in words is "forty-two billion, ninety-five million, seventy-three thousand, five hundred four".