42252465290112 has 1536 divisors, whose sum is σ = 163569809894400. Its totient is φ = 10534551552000.

The previous prime is 42252465290093. The next prime is 42252465290131. The reversal of 42252465290112 is 21109256425224.

42252465290112 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 2 + 4 + 6 + 529 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (42252465290093) and next prime (42252465290131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12571395312 + ... + 12571398672.

It is an arithmetic number, because the mean of its divisors is an integer number (106490761650).

Almost surely, 2^{42252465290112} is an apocalyptic number.

42252465290112 is a gapful number since it is divisible by the number (42) 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 42252465290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81784904947200).

42252465290112 is an abundant number, since it is smaller than the sum of its proper divisors (121317344604288).

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

42252465290112 is a wasteful number, since it uses less digits than its factorization.

42252465290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 42252465290112 in words is "forty-two trillion, two hundred fifty-two billion, four hundred sixty-five million, two hundred ninety thousand, one hundred twelve".