42742224288 has 384 divisors, whose sum is σ = 135504230400. Its totient is φ = 13063680000.

The previous prime is 42742224181. The next prime is 42742224341. The reversal of 42742224288 is 88242224724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106588888 + ... + 106589288.

It is an arithmetic number, because the mean of its divisors is an integer number (352875600).

Almost surely, 2^42742224288 is an apocalyptic number.

42742224288 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 42742224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67752115200).

42742224288 is an abundant number, since it is smaller than the sum of its proper divisors (92762006112).

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

42742224288 is a wasteful number, since it uses less digits than its factorization.

42742224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The spelling of 42742224288 in words is "forty-two billion, seven hundred forty-two million, two hundred twenty-four thousand, two hundred eighty-eight".