4040006040 has 192 divisors, whose sum is σ = 15029913600. Its totient is φ = 921943296.

The previous prime is 4040006039. The next prime is 4040006063. The reversal of 4040006040 is 406000404.

4040006040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2617509 + ... + 2619051.

It is an arithmetic number, because the mean of its divisors is an integer number (78280800).

Almost surely, 2^4040006040 is an apocalyptic number.

4040006040 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 4040006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514956800).

4040006040 is an abundant number, since it is smaller than the sum of its proper divisors (10989907560).

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

4040006040 is a wasteful number, since it uses less digits than its factorization.

4040006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2599 counting only the distinct ones).

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

The square root of 4040006040 is about 63561.0418416816. The cubic root of 4040006040 is about 1592.6756420667.

Adding to 4040006040 its reverse (406000404), we get a palindrome (4446006444).

The spelling of 4040006040 in words is "four billion, forty million, six thousand, forty", and thus it is an eban number.