42242780448 has 270 divisors, whose sum is σ = 136928754963. Its totient is φ = 12765962880.

The previous prime is 42242780423. The next prime is 42242780477. The reversal of 42242780448 is 84408724224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21121390224 + 21121390224 = 145332^2 + 145332^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115102761 + ... + 115103127.

Almost surely, 2^42242780448 is an apocalyptic number.

42242780448 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 42242780448

42242780448 is an abundant number, since it is smaller than the sum of its proper divisors (94685974515).

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

42242780448 is an equidigital number, since it uses as much as digits as its factorization.

42242780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 383 counting only the distinct ones).

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

The spelling of 42242780448 in words is "forty-two billion, two hundred forty-two million, seven hundred eighty thousand, four hundred forty-eight".