4200100506000 has 640 divisors, whose sum is σ = 17310713472000. Its totient is φ = 953567078400.

The previous prime is 4200100505981. The next prime is 4200100506029. The reversal of 4200100506000 is 6050010024.

It is a happy number.

4200100506000 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 10 + 0 + 50 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 56284714 + ... + 56359286.

It is an arithmetic number, because the mean of its divisors is an integer number (27047989800).

Almost surely, 2^{4200100506000} is an apocalyptic number.

4200100506000 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 4200100506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655356736000).

4200100506000 is an abundant number, since it is smaller than the sum of its proper divisors (13110612966000).

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

4200100506000 is a wasteful number, since it uses less digits than its factorization.

4200100506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74761 (or 74739 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 4200100506000 its reverse (6050010024), we get a palindrome (4206150516024).

The spelling of 4200100506000 in words is "four trillion, two hundred billion, one hundred million, five hundred six thousand".