4040220400040 has 96 divisors (see below), whose sum is σ = 10004579290440. Its totient is φ = 1467326277120.

The previous prime is 4040220400019. The next prime is 4040220400081. The reversal of 4040220400040 is 400040220404.

It can be written as a sum of positive squares in 4 ways, for example, as 2136444108964 + 1903776291076 = 1461658^2 + 1379774^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4040220399985 and 4040220400021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3333794 + ... + 4381166.

Almost surely, 2^{4040220400040} is an apocalyptic number.

4040220400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040220400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002289645220).

4040220400040 is an abundant number, since it is smaller than the sum of its proper divisors (5964358890400).

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

4040220400040 is a wasteful number, since it uses less digits than its factorization.

4040220400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048203 (or 1048188 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4040220400040 its reverse (400040220404), we get a palindrome (4440260620444).

The spelling of 4040220400040 in words is "four trillion, forty billion, two hundred twenty million, four hundred thousand, forty".