2400444000404 has 72 divisors (see below), whose sum is σ = 4544006073768. Its totient is φ = 1108741893120.

The previous prime is 2400444000379. The next prime is 2400444000407. The reversal of 2400444000404 is 4040004440042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145731535504 + 2254712464900 = 381748^2 + 1501570^2 .

It is a super-3 number, since 3×2400444000404³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400444000407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126509462 + ... + 126528434.

It is an arithmetic number, because the mean of its divisors is an integer number (63111195469).

Almost surely, 2^{2400444000404} is an apocalyptic number.

It is an amenable number.

2400444000404 is a deficient number, since it is larger than the sum of its proper divisors (2143562073364).

2400444000404 is a wasteful number, since it uses less digits than its factorization.

2400444000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21172 counting only the distinct ones).

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

Adding to 2400444000404 its reverse (4040004440042), we get a palindrome (6440448440446).

The spelling of 2400444000404 in words is "two trillion, four hundred billion, four hundred forty-four million, four hundred four", and thus it is an aban number.