42395983872 has 336 divisors, whose sum is σ = 127075722480. Its totient is φ = 12558008320.

The previous prime is 42395983871. The next prime is 42395983879. The reversal of 42395983872 is 27838959324.

42395983872 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 2×42395983872² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42395983871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157605754 + ... + 157606022.

It is an arithmetic number, because the mean of its divisors is an integer number (378201555).

Almost surely, 2^42395983872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42395983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537861240).

42395983872 is an abundant number, since it is smaller than the sum of its proper divisors (84679738608).

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

42395983872 is a wasteful number, since it uses less digits than its factorization.

42395983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 338 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 42395983872 in words is "forty-two billion, three hundred ninety-five million, nine hundred eighty-three thousand, eight hundred seventy-two".