4000064040 has 384 divisors, whose sum is σ = 15655939200. Its totient is φ = 905748480.

The previous prime is 4000064039. The next prime is 4000064051. The reversal of 4000064040 is 404600004.

It is a super-2 number, since 2×4000064040² = 32001024648202243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6932232 + ... + 6932808.

It is an arithmetic number, because the mean of its divisors is an integer number (40770675).

Almost surely, 2^4000064040 is an apocalyptic number.

4000064040 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 4000064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827969600).

4000064040 is an abundant number, since it is smaller than the sum of its proper divisors (11655875160).

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

4000064040 is a wasteful number, since it uses less digits than its factorization.

4000064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000064040 is about 63246.0594819946. The cubic root of 4000064040 is about 1587.4095233533.

Adding to 4000064040 its reverse (404600004), we get a palindrome (4404664044).

The spelling of 4000064040 in words is "four billion, sixty-four thousand, forty", and thus it is an eban number.