3440400240020 has 48 divisors (see below), whose sum is σ = 7232958588240. Its totient is φ = 1374614224896.

The previous prime is 3440400239989. The next prime is 3440400240037. The reversal of 3440400240020 is 200420040443.

It can be written as a sum of positive squares in 8 ways, for example, as 11725857796 + 3428674382224 = 108286^2 + 1851668^2 .

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 15 ways as a sum of consecutive naturals, for example, 247272584 + ... + 247286496.

It is an arithmetic number, because the mean of its divisors is an integer number (150686637255).

Almost surely, 2^{3440400240020} is an apocalyptic number.

It is an amenable number.

3440400240020 is an abundant number, since it is smaller than the sum of its proper divisors (3792558348220).

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

3440400240020 is a wasteful number, since it uses less digits than its factorization.

3440400240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26924 (or 26922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 3440400240020 its reverse (200420040443), we get a palindrome (3640820280463).

The spelling of 3440400240020 in words is "three trillion, four hundred forty billion, four hundred million, two hundred forty thousand, twenty".