42281219232 has 288 divisors, whose sum is σ = 146637429120. Its totient is φ = 11287019520.

The previous prime is 42281219221. The next prime is 42281219249. The reversal of 42281219232 is 23291218224.

It is a happy number.

42281219232 is a `hidden beast` number, since 422 + 8 + 12 + 192 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788632 + ... + 2803752.

It is an arithmetic number, because the mean of its divisors is an integer number (509157740).

Almost surely, 2^42281219232 is an apocalyptic number.

42281219232 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 42281219232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73318714560).

42281219232 is an abundant number, since it is smaller than the sum of its proper divisors (104356209888).

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

42281219232 is a wasteful number, since it uses less digits than its factorization.

42281219232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15236 (or 15225 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 42281219232 in words is "forty-two billion, two hundred eighty-one million, two hundred nineteen thousand, two hundred thirty-two".