4000800040 has 72 divisors (see below), whose sum is σ = 9193906890. Its totient is φ = 1566876672.

The previous prime is 4000800031. The next prime is 4000800061. The reversal of 4000800040 is 400080004.

It can be written as a sum of positive squares in 9 ways, for example, as 844832356 + 3155967684 = 29066^2 + 56178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4000799987 and 4000800023.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 29202852 + ... + 29202988.

Almost surely, 2^4000800040 is an apocalyptic number.

4000800040 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 4000800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596953445).

4000800040 is an abundant number, since it is smaller than the sum of its proper divisors (5193106850).

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

4000800040 is an equidigital number, since it uses as much as digits as its factorization.

4000800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 217 counting only the distinct ones).

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

The square root of 4000800040 is about 63251.8777586879. The cubic root of 4000800040 is about 1587.5068769413.

Adding to 4000800040 its reverse (400080004), we get a palindrome (4400880044).

Subtracting from 4000800040 its reverse (400080004), we obtain a square (3600720036 = 60006²).

The spelling of 4000800040 in words is "four billion, eight hundred thousand, forty".