42145520300 has 144 divisors (see below), whose sum is σ = 99942374112. Its totient is φ = 15333580800.

The previous prime is 42145520281. The next prime is 42145520317. The reversal of 42145520300 is 302554124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42145520300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35685710 + ... + 35686890.

Almost surely, 2^42145520300 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 42145520300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49971187056).

42145520300 is an abundant number, since it is smaller than the sum of its proper divisors (57796853812).

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

42145520300 is a wasteful number, since it uses less digits than its factorization.

42145520300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 42145520300 in words is "forty-two billion, one hundred forty-five million, five hundred twenty thousand, three hundred".