4042002420 has 72 divisors (see below), whose sum is σ = 12277104840. Its totient is φ = 1076428800.

The previous prime is 4042002383. The next prime is 4042002431. The reversal of 4042002420 is 242002404.

4042002420 is a `hidden beast` number, since 4 + 0 + 420 + 0 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118984464 + 3923017956 = 10908^2 + 62634^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4042002393 and 4042002402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123820 + ... + 153020.

It is an arithmetic number, because the mean of its divisors is an integer number (170515345).

Almost surely, 2^4042002420 is an apocalyptic number.

It is an amenable number.

4042002420 is an abundant number, since it is smaller than the sum of its proper divisors (8235102420).

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

4042002420 is a wasteful number, since it uses less digits than its factorization.

4042002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29985 (or 29980 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4042002420 is about 63576.7443331286. The cubic root of 4042002420 is about 1592.9379405366.

Adding to 4042002420 its reverse (242002404), we get a palindrome (4284004824).

The spelling of 4042002420 in words is "four billion, forty-two million, two thousand, four hundred twenty".