4042200480 has 48 divisors (see below), whose sum is σ = 12732933024. Its totient is φ = 1077920000.

The previous prime is 4042200479. The next prime is 4042200493. The reversal of 4042200480 is 840022404.

4042200480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042200480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210146 + ... + 4211105.

It is an arithmetic number, because the mean of its divisors is an integer number (265269438).

Almost surely, 2^4042200480 is an apocalyptic number.

4042200480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042200480 is an abundant number, since it is smaller than the sum of its proper divisors (8690732544).

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

4042200480 is a wasteful number, since it uses less digits than its factorization.

4042200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421269 (or 8421261 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4042200480 is about 63578.3019590803. The cubic root of 4042200480 is about 1592.9639583452.

Adding to 4042200480 its reverse (840022404), we get a palindrome (4882222884).

The spelling of 4042200480 in words is "four billion, forty-two million, two hundred thousand, four hundred eighty".