42225000512 has 112 divisors (see below), whose sum is σ = 90097660800. Its totient is φ = 19575705600.

The previous prime is 42225000487. The next prime is 42225000533. The reversal of 42225000512 is 21500052224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10928693 + ... + 10932555.

It is an arithmetic number, because the mean of its divisors is an integer number (804443400).

Almost surely, 2^42225000512 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 42225000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45048830400).

42225000512 is an abundant number, since it is smaller than the sum of its proper divisors (47872660288).

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

42225000512 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (42225000511) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4074).

42225000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 42225000512 its reverse (21500052224), we get a palindrome (63725052736).

The spelling of 42225000512 in words is "forty-two billion, two hundred twenty-five million, five hundred twelve", and thus it is an aban number.