42145103000 has 512 divisors, whose sum is σ = 134503649280. Its totient is φ = 11934720000.

The previous prime is 42145102991. The next prime is 42145103047. The reversal of 42145103000 is 30154124.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 71070704 + ... + 71071296.

It is an arithmetic number, because the mean of its divisors is an integer number (262702440).

Almost surely, 2^42145103000 is an apocalyptic number.

42145103000 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 42145103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67251824640).

42145103000 is an abundant number, since it is smaller than the sum of its proper divisors (92358546280).

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

42145103000 is a wasteful number, since it uses less digits than its factorization.

42145103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 42145103000 its reverse (30154124), we get a palindrome (42175257124).

The spelling of 42145103000 in words is "forty-two billion, one hundred forty-five million, one hundred three thousand".