4020400242 has 24 divisors (see below), whose sum is σ = 8946297516. Its totient is φ = 1303913376.

The previous prime is 4020400229. The next prime is 4020400273. The reversal of 4020400242 is 2420040204.

4020400242 is a `hidden beast` number, since 4 + 0 + 20 + 400 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3500970561 + 519429681 = 59169^2 + 22791^2 .

It is a super-3 number, since 3×4020400242³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3017653 + ... + 3018984.

Almost surely, 2^4020400242 is an apocalyptic number.

4020400242 is an abundant number, since it is smaller than the sum of its proper divisors (4925897274).

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

4020400242 is a wasteful number, since it uses less digits than its factorization.

4020400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036682 (or 6036679 counting only the distinct ones).

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

The square root of 4020400242 is about 63406.6261679330. The cubic root of 4020400242 is about 1590.0950910258.

Adding to 4020400242 its reverse (2420040204), we get a palindrome (6440440446).

The spelling of 4020400242 in words is "four billion, twenty million, four hundred thousand, two hundred forty-two".