42252288000 has 720 divisors, whose sum is σ = 158297639136. Its totient is φ = 9948364800.

The previous prime is 42252287983. The next prime is 42252288041. The reversal of 42252288000 is 88225224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837055989 + ... + 1837056011.

Almost surely, 2^42252288000 is an apocalyptic number.

42252288000 is a gapful number since it is divisible by the number (40) 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 42252288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79148819568).

42252288000 is an abundant number, since it is smaller than the sum of its proper divisors (116045351136).

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

42252288000 is an equidigital number, since it uses as much as digits as its factorization.

42252288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 42252288000 in words is "forty-two billion, two hundred fifty-two million, two hundred eighty-eight thousand".