42225342408 has 108 divisors (see below), whose sum is σ = 116559393795. Its totient is φ = 13809502080.

The previous prime is 42225342233. The next prime is 42225342413. The reversal of 42225342408 is 80424352224.

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.

42225342408 is a `hidden beast` number, since 4 + 2 + 225 + 3 + 424 + 0 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 5100530724 + 37124811684 = 71418^2 + 192678^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145302.

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

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 26 ways as a sum of consecutive naturals, for example, 106360866 + ... + 106361262.

Almost surely, 2^42225342408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225342408

42225342408 is an abundant number, since it is smaller than the sum of its proper divisors (74334051387).

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

42225342408 is an equidigital number, since it uses as much as digits as its factorization.

42225342408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 42225342408 in words is "forty-two billion, two hundred twenty-five million, three hundred forty-two thousand, four hundred eight".