4000844484040 has 32 divisors (see below), whose sum is σ = 9002108178360. Its totient is φ = 1600300800000.

The previous prime is 4000844484019. The next prime is 4000844484047. The reversal of 4000844484040 is 404844480004.

It can be written as a sum of positive squares in 4 ways, for example, as 3642807400996 + 358037083044 = 1908614^2 + 598362^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4000844483984 and 4000844484002.

It is not an unprimeable number, because it can be changed into a prime (4000844484047) 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, 630040 + ... + 2898040.

Almost surely, 2^{4000844484040} is an apocalyptic number.

4000844484040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000844484040 is an abundant number, since it is smaller than the sum of its proper divisors (5001263694320).

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

4000844484040 is a wasteful number, since it uses less digits than its factorization.

4000844484040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312113 (or 2312109 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4000844484040 in words is "four trillion, eight hundred forty-four million, four hundred eighty-four thousand, forty".