4007802420 has 36 divisors (see below), whose sum is σ = 12157001220. Its totient is φ = 1068747264.

The previous prime is 4007802413. The next prime is 4007802437. The reversal of 4007802420 is 242087004.

It can be written as a sum of positive squares in 2 ways, for example, as 417875364 + 3589927056 = 20442^2 + 59916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 11132605 + ... + 11132964.

Almost surely, 2^4007802420 is an apocalyptic number.

It is an amenable number.

4007802420 is an abundant number, since it is smaller than the sum of its proper divisors (8149198800).

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

4007802420 is a wasteful number, since it uses less digits than its factorization.

4007802420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22265584 (or 22265579 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4007802420 is about 63307.2066987638. The cubic root of 4007802420 is about 1588.4325124110.

Adding to 4007802420 its reverse (242087004), we get a palindrome (4249889424).

The spelling of 4007802420 in words is "four billion, seven million, eight hundred two thousand, four hundred twenty".