42141052800 has 1152 divisors, whose sum is σ = 193836165120. Its totient is φ = 8460288000.

The previous prime is 42141052799. The next prime is 42141052817. The reversal of 42141052800 is 825014124.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68745294 + ... + 68745906.

It is an arithmetic number, because the mean of its divisors is an integer number (168260560).

Almost surely, 2^42141052800 is an apocalyptic number.

42141052800 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 42141052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96918082560).

42141052800 is an abundant number, since it is smaller than the sum of its proper divisors (151695112320).

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

42141052800 is a wasteful number, since it uses less digits than its factorization.

42141052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 42141052800 its reverse (825014124), we get a palindrome (42966066924).

The spelling of 42141052800 in words is "forty-two billion, one hundred forty-one million, fifty-two thousand, eight hundred".