42059052000 has 864 divisors, whose sum is σ = 176004620064. Its totient is φ = 9483264000.

The previous prime is 42059051999. The next prime is 42059052053. The reversal of 42059052000 is 25095024.

42059052000 is a `hidden beast` number, since 4 + 20 + 590 + 52 + 0 + 0 + 0 = 666.

42059052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 199331895 + ... + 199332105.

It is an arithmetic number, because the mean of its divisors is an integer number (203709051).

Almost surely, 2^42059052000 is an apocalyptic number.

42059052000 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 42059052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88002310032).

42059052000 is an abundant number, since it is smaller than the sum of its proper divisors (133945568064).

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

42059052000 is a wasteful number, since it uses less digits than its factorization.

42059052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 42059052000 in words is "forty-two billion, fifty-nine million, fifty-two thousand".