42308001792 has 420 divisors, whose sum is σ = 143173002960. Its totient is φ = 12037423104.

The previous prime is 42308001761. The next prime is 42308001793. The reversal of 42308001792 is 29710080324.

It is a super-2 number, since 2×42308001792² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42308001793) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 177020809 + ... + 177021047.

Almost surely, 2^42308001792 is an apocalyptic number.

42308001792 is a gapful number since it is divisible by the number (42) 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 42308001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71586501480).

42308001792 is an abundant number, since it is smaller than the sum of its proper divisors (100865001168).

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

42308001792 is an frugal number, since it uses more digits than its factorization.

42308001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42308001792 in words is "forty-two billion, three hundred eight million, one thousand, seven hundred ninety-two".