4000728040 has 32 divisors (see below), whose sum is σ = 9005230080. Its totient is φ = 1599652672.

The previous prime is 4000728037. The next prime is 4000728097. The reversal of 4000728040 is 408270004.

It is a junction number, because it is equal to n+sod(n) for n = 4000727996 and 4000728014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88869 + ... + 126091.

It is an arithmetic number, because the mean of its divisors is an integer number (281413440).

Almost surely, 2^4000728040 is an apocalyptic number.

4000728040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000728040 is an abundant number, since it is smaller than the sum of its proper divisors (5004502040).

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

4000728040 is a wasteful number, since it uses less digits than its factorization.

4000728040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39921 (or 39917 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4000728040 is about 63251.3086030637. The cubic root of 4000728040 is about 1587.4973537476.

Adding to 4000728040 its reverse (408270004), we get a palindrome (4408998044).

The spelling of 4000728040 in words is "four billion, seven hundred twenty-eight thousand, forty".