4006800040 has 96 divisors (see below), whose sum is σ = 9619660800. Its totient is φ = 1501701120.

The previous prime is 4006800037. The next prime is 4006800059. The reversal of 4006800040 is 400086004.

It is a junction number, because it is equal to n+sod(n) for n = 4006799984 and 4006800020.

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, 3132121 + ... + 3133399.

It is an arithmetic number, because the mean of its divisors is an integer number (100204800).

Almost surely, 2^4006800040 is an apocalyptic number.

4006800040 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 4006800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809830400).

4006800040 is an abundant number, since it is smaller than the sum of its proper divisors (5612860760).

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

4006800040 is a wasteful number, since it uses less digits than its factorization.

4006800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4006800040 is about 63299.2894114934. The cubic root of 4006800040 is about 1588.3000752651.

Adding to 4006800040 its reverse (400086004), we get a palindrome (4406886044).

The spelling of 4006800040 in words is "four billion, six million, eight hundred thousand, forty".