42072181008 has 320 divisors, whose sum is σ = 131414088960. Its totient is φ = 11429683200.

The previous prime is 42072181007. The next prime is 42072181033. The reversal of 42072181008 is 80018127024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 42072181008.

It is not an unprimeable number, because it can be changed into a prime (42072181007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39652798 + ... + 39653858.

It is an arithmetic number, because the mean of its divisors is an integer number (410669028).

Almost surely, 2^42072181008 is an apocalyptic number.

42072181008 is a gapful number since it is divisible by the number (48) 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 42072181008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707044480).

42072181008 is an abundant number, since it is smaller than the sum of its proper divisors (89341907952).

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

42072181008 is a wasteful number, since it uses less digits than its factorization.

42072181008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 42072181008 in words is "forty-two billion, seventy-two million, one hundred eighty-one thousand, eight".