2444000400040 has 64 divisors (see below), whose sum is σ = 5507360586000. Its totient is φ = 976114759680.

The previous prime is 2444000399959. The next prime is 2444000400041. The reversal of 2444000400040 is 400040004442.

It can be written as a sum of positive squares in 8 ways, for example, as 1907564273316 + 536436126724 = 1381146^2 + 732418^2 .

2444000400040 is a modest number, since divided by 400040 gives 24440 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2444000399984 and 2444000400020.

It is not an unprimeable number, because it can be changed into a prime (2444000400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126694716 + ... + 126714004.

Almost surely, 2^{2444000400040} is an apocalyptic number.

2444000400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444000400040 is an abundant number, since it is smaller than the sum of its proper divisors (3063360185960).

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

2444000400040 is a wasteful number, since it uses less digits than its factorization.

2444000400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23950 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2444000400040 its reverse (400040004442), we get a palindrome (2844040404482).

The spelling of 2444000400040 in words is "two trillion, four hundred forty-four billion, four hundred thousand, forty".