4004400404240 has 40 divisors (see below), whose sum is σ = 9631273391640. Its totient is φ = 1546527051776.

The previous prime is 4004400404149. The next prime is 4004400404243. The reversal of 4004400404240 is 424040044004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 826295544064 + 3178104860176 = 909008^2 + 1782724^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4004400404243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 863015009 + ... + 863019648.

It is an arithmetic number, because the mean of its divisors is an integer number (240781834791).

Almost surely, 2^{4004400404240} is an apocalyptic number.

4004400404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004400404240 is an abundant number, since it is smaller than the sum of its proper divisors (5626872987400).

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

4004400404240 is a wasteful number, since it uses less digits than its factorization.

4004400404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726034699 (or 1726034693 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 4004400404240 its reverse (424040044004), we get a palindrome (4428440448244).

The spelling of 4004400404240 in words is "four trillion, four billion, four hundred million, four hundred four thousand, two hundred forty".