4080400000000 has 297 divisors, whose sum is σ = 10297963965721. Its totient is φ = 1616000000000.

The previous prime is 4080399999943. The next prime is 4080400000007. The reversal of 4080400000000 is 40804.

The square root of 4080400000000 is 2020000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2115558614016 + 1964841385984 = 1454496^2 + 1401728^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4080400000000.

It is not an unprimeable number, because it can be changed into a prime (4080400000007) 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 26 ways as a sum of consecutive naturals, for example, 40399999950 + ... + 40400000050.

Almost surely, 2^{4080400000000} is an apocalyptic number.

4080400000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4080400000000 is the 2020000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080400000000

4080400000000 is an abundant number, since it is smaller than the sum of its proper divisors (6217563965721).

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

4080400000000 is an frugal number, since it uses more digits than its factorization.

4080400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 4080400000000 by its sum of digits (16), we get a square (65286400000000 = 8080000²).

4080400000000 divided by its sum of digits (16) gives a square (255025000000 = 505000²).

Adding to 4080400000000 its reverse (40804), we get a palindrome (4080400040804).

4080400000000 divided by its reverse (40804) gives a 8-th power (100000000 = 10⁸).

The spelling of 4080400000000 in words is "four trillion, eighty billion, four hundred million", and thus it is an aban number.