4200004042220 has 96 divisors (see below), whose sum is σ = 10204812366336. Its totient is φ = 1422183859200.

The previous prime is 4200004042189. The next prime is 4200004042237. The reversal of 4200004042220 is 222404000024.

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

It is a junction number, because it is equal to n+sod(n) for n = 4200004042192 and 4200004042201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36208115 + ... + 36323925.

It is an arithmetic number, because the mean of its divisors is an integer number (106300128816).

Almost surely, 2^{4200004042220} 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 4200004042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102406183168).

4200004042220 is an abundant number, since it is smaller than the sum of its proper divisors (6004808324116).

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

4200004042220 is a wasteful number, since it uses less digits than its factorization.

4200004042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119031 (or 119029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4200004042220 its reverse (222404000024), we get a palindrome (4422408042244).

The spelling of 4200004042220 in words is "four trillion, two hundred billion, four million, forty-two thousand, two hundred twenty".