42016542304 has 96 divisors (see below), whose sum is σ = 96395425056. Its totient is φ = 17815633920.

The previous prime is 42016542289. The next prime is 42016542307. The reversal of 42016542304 is 40324561024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42016542307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645124 + ... + 707260.

It is an arithmetic number, because the mean of its divisors is an integer number (1004119011).

Almost surely, 2^42016542304 is an apocalyptic number.

42016542304 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 42016542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48197712528).

42016542304 is an abundant number, since it is smaller than the sum of its proper divisors (54378882752).

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

42016542304 is a wasteful number, since it uses less digits than its factorization.

42016542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62288 (or 62280 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 42016542304 in words is "forty-two billion, sixteen million, five hundred forty-two thousand, three hundred four".