42342047616 has 512 divisors, whose sum is σ = 133249536000. Its totient is φ = 11785748480.

The previous prime is 42342047609. The next prime is 42342047621. The reversal of 42342047616 is 61674024324.

42342047616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42342047616² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475753300 + ... + 475753388.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 2^42342047616 is an apocalyptic number.

42342047616 is a gapful number since it is divisible by the number (46) 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 42342047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768000).

42342047616 is an abundant number, since it is smaller than the sum of its proper divisors (90907488384).

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

42342047616 is a wasteful number, since it uses less digits than its factorization.

42342047616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 42342047616 in words is "forty-two billion, three hundred forty-two million, forty-seven thousand, six hundred sixteen".