42319536000 has 768 divisors, whose sum is σ = 171964166400. Its totient is φ = 9154252800.

The previous prime is 42319535977. The next prime is 42319536001. The reversal of 42319536000 is 63591324.

42319536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42319536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44687527 + ... + 44688473.

It is an arithmetic number, because the mean of its divisors is an integer number (223911675).

Almost surely, 2^42319536000 is an apocalyptic number.

42319536000 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 42319536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85982083200).

42319536000 is an abundant number, since it is smaller than the sum of its proper divisors (129644630400).

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

42319536000 is a wasteful number, since it uses less digits than its factorization.

42319536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 42319536000 in words is "forty-two billion, three hundred nineteen million, five hundred thirty-six thousand".