42201013003500 has 192 divisors, whose sum is σ = 132463747293696. Its totient is φ = 10378414944000.

The previous prime is 42201013003439. The next prime is 42201013003547. The reversal of 42201013003500 is 530031010224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20282679 + ... + 22266321.

It is an arithmetic number, because the mean of its divisors is an integer number (689915350488).

Almost surely, 2^{42201013003500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201013003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66231873646848).

42201013003500 is an abundant number, since it is smaller than the sum of its proper divisors (90262734290196).

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

42201013003500 is a wasteful number, since it uses less digits than its factorization.

42201013003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984769 (or 1984757 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 42201013003500 its reverse (530031010224), we get a palindrome (42731044013724).

The spelling of 42201013003500 in words is "forty-two trillion, two hundred one billion, thirteen million, three thousand, five hundred".