4020402420 has 72 divisors (see below), whose sum is σ = 12912596424. Its totient is φ = 1009041408.

The previous prime is 4020402391. The next prime is 4020402467. The reversal of 4020402420 is 242040204.

4020402420 is a `hidden beast` number, since 40 + 204 + 0 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 436224996 + 3584177424 = 20886^2 + 59868^2 .

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 = 4020402393 and 4020402402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 653869 + ... + 659988.

It is an arithmetic number, because the mean of its divisors is an integer number (179341617).

Almost surely, 2^4020402420 is an apocalyptic number.

It is an amenable number.

4020402420 is an abundant number, since it is smaller than the sum of its proper divisors (8892194004).

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

4020402420 is a wasteful number, since it uses less digits than its factorization.

4020402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313889 (or 1313884 counting only the distinct ones).

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

The square root of 4020402420 is about 63406.6433427918. The cubic root of 4020402420 is about 1590.0953781636.

Adding to 4020402420 its reverse (242040204), we get a palindrome (4262442624).

The spelling of 4020402420 in words is "four billion, twenty million, four hundred two thousand, four hundred twenty".