4200054040 has 128 divisors (see below), whose sum is σ = 11652600960. Its totient is φ = 1326772224.

The previous prime is 4200053999. The next prime is 4200054043. The reversal of 4200054040 is 404500024.

It is a junction number, because it is equal to n+sod(n) for n = 4200053999 and 4200054017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200054043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3759562 + ... + 3760678.

It is an arithmetic number, because the mean of its divisors is an integer number (91035945).

Almost surely, 2^4200054040 is an apocalyptic number.

4200054040 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 4200054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826300480).

4200054040 is an abundant number, since it is smaller than the sum of its proper divisors (7452546920).

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

4200054040 is a wasteful number, since it uses less digits than its factorization.

4200054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 4200054040 is about 64807.8239103891. The cubic root of 4200054040 is about 1613.4355658111.

Adding to 4200054040 its reverse (404500024), we get a palindrome (4604554064).

The spelling of 4200054040 in words is "four billion, two hundred million, fifty-four thousand, forty".