4200420220040 has 64 divisors (see below), whose sum is σ = 10310758738560. Its totient is φ = 1527331256320.

The previous prime is 4200420219991. The next prime is 4200420220099. The reversal of 4200420220040 is 400220240024.

4200420220040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4200420219994 and 4200420220021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049837 + ... + 7622403.

It is an arithmetic number, because the mean of its divisors is an integer number (161105605290).

Almost surely, 2^{4200420220040} is an apocalyptic number.

4200420220040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200420220040 is an abundant number, since it is smaller than the sum of its proper divisors (6110338518520).

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

4200420220040 is a wasteful number, since it uses less digits than its factorization.

4200420220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589262 (or 589258 counting only the distinct ones).

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

Adding to 4200420220040 its reverse (400220240024), we get a palindrome (4600640460064).

The spelling of 4200420220040 in words is "four trillion, two hundred billion, four hundred twenty million, two hundred twenty thousand, forty".