42052315452000 has 384 divisors, whose sum is σ = 160793753702400. Its totient is φ = 9407447193600.

The previous prime is 42052315451999. The next prime is 42052315452029. The reversal of 42052315452000 is 25451325024.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1377775 + ... + 9273774.

It is an arithmetic number, because the mean of its divisors is an integer number (418733733600).

Almost surely, 2^{42052315452000} is an apocalyptic number.

42052315452000 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 42052315452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80396876851200).

42052315452000 is an abundant number, since it is smaller than the sum of its proper divisors (118741438250400).

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

42052315452000 is a wasteful number, since it uses less digits than its factorization.

42052315452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651631 (or 10651613 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 42052315452000 its reverse (25451325024), we get a palindrome (42077766777024).

The spelling of 42052315452000 in words is "forty-two trillion, fifty-two billion, three hundred fifteen million, four hundred fifty-two thousand".