42705275532000 has 768 divisors, whose sum is σ = 150523320729600. Its totient is φ = 10562536857600.

The previous prime is 42705275531999. The next prime is 42705275532071. The reversal of 42705275532000 is 23557250724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1017183009 + ... + 1017224991.

It is an arithmetic number, because the mean of its divisors is an integer number (195993907200).

Almost surely, 2^{42705275532000} is an apocalyptic number.

42705275532000 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 42705275532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75261660364800).

42705275532000 is an abundant number, since it is smaller than the sum of its proper divisors (107818045197600).

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

42705275532000 is a wasteful number, since it uses less digits than its factorization.

42705275532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42156 (or 42138 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 42.

The spelling of 42705275532000 in words is "forty-two trillion, seven hundred five billion, two hundred seventy-five million, five hundred thirty-two thousand".