4000300240 has 40 divisors (see below), whose sum is σ = 9341355240. Its totient is φ = 1593125376.

The previous prime is 4000300217. The next prime is 4000300253. The reversal of 4000300240 is 420030004.

It can be written as a sum of positive squares in 4 ways, for example, as 819791424 + 3180508816 = 28632^2 + 56396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4000300240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90859 + ... + 127498.

It is an arithmetic number, because the mean of its divisors is an integer number (233533881).

Almost surely, 2^4000300240 is an apocalyptic number.

4000300240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000300240 is an abundant number, since it is smaller than the sum of its proper divisors (5341055000).

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

4000300240 is a wasteful number, since it uses less digits than its factorization.

4000300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218599 (or 218593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4000300240 is about 63247.9267644403. The cubic root of 4000300240 is about 1587.4407677488.

Adding to 4000300240 its reverse (420030004), we get a palindrome (4420330244).

The spelling of 4000300240 in words is "four billion, three hundred thousand, two hundred forty".