42188815872 has 320 divisors, whose sum is σ = 143187264000. Its totient is φ = 12014714880.

The previous prime is 42188815861. The next prime is 42188815883. The reversal of 42188815872 is 27851888124.

It is a happy number.

42188815872 is a `hidden beast` number, since 42 + 18 + 8 + 8 + 1 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42188815861) and next prime (42188815883).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43448347 + ... + 43449317.

It is an arithmetic number, because the mean of its divisors is an integer number (447460200).

Almost surely, 2^42188815872 is an apocalyptic number.

42188815872 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 42188815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593632000).

42188815872 is an abundant number, since it is smaller than the sum of its proper divisors (100998448128).

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

42188815872 is an equidigital number, since it uses as much as digits as its factorization.

42188815872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1432 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 54.

The spelling of 42188815872 in words is "forty-two billion, one hundred eighty-eight million, eight hundred fifteen thousand, eight hundred seventy-two".