4000342420 has 48 divisors (see below), whose sum is σ = 8910327888. Its totient is φ = 1503395840.

The previous prime is 4000342399. The next prime is 4000342439. The reversal of 4000342420 is 242430004.

It can be written as a sum of positive squares in 8 ways, for example, as 178382736 + 3821959684 = 13356^2 + 61822^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191700 + ... + 211540.

It is an arithmetic number, because the mean of its divisors is an integer number (185631831).

Almost surely, 2^4000342420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455163944).

4000342420 is an abundant number, since it is smaller than the sum of its proper divisors (4909985468).

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

4000342420 is a wasteful number, since it uses less digits than its factorization.

4000342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20460 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4000342420 is about 63248.2602132264. The cubic root of 4000342420 is about 1587.4463471647.

Adding to 4000342420 its reverse (242430004), we get a palindrome (4242772424).

The spelling of 4000342420 in words is "four billion, three hundred forty-two thousand, four hundred twenty".