42412442000 has 80 divisors (see below), whose sum is σ = 106089750000. Its totient is φ = 16379955200.

The previous prime is 42412441997. The next prime is 42412442003. The reversal of 42412442000 is 24421424.

It is an interprime number because it is at equal distance from previous prime (42412441997) and next prime (42412442003).

It can be written as a sum of positive squares in 8 ways, for example, as 12901325056 + 29511116944 = 113584^2 + 171788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42412442003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 307625 + ... + 423624.

It is an arithmetic number, because the mean of its divisors is an integer number (1326121875).

Almost surely, 2^42412442000 is an apocalyptic number.

42412442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412442000 is an abundant number, since it is smaller than the sum of its proper divisors (63677308000).

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

42412442000 is a wasteful number, since it uses less digits than its factorization.

42412442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731301 (or 731285 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 42412442000 its reverse (24421424), we get a palindrome (42436863424).

The spelling of 42412442000 in words is "forty-two billion, four hundred twelve million, four hundred forty-two thousand".