42105030000 has 200 divisors, whose sum is σ = 148278235776. Its totient is φ = 10207200000.

The previous prime is 42105029987. The next prime is 42105030029. The reversal of 42105030000 is 3050124.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266205 + ... + 393795.

Almost surely, 2^42105030000 is an apocalyptic number.

42105030000 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 42105030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74139117888).

42105030000 is an abundant number, since it is smaller than the sum of its proper divisors (106173205776).

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

42105030000 is a wasteful number, since it uses less digits than its factorization.

42105030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127633 (or 127612 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 42105030000 its reverse (3050124), we get a palindrome (42108080124).

The spelling of 42105030000 in words is "forty-two billion, one hundred five million, thirty thousand".