4008040960 has 160 divisors (see below), whose sum is σ = 11981768832. Its totient is φ = 1249198080.

The previous prime is 4008040943. The next prime is 4008040963. The reversal of 4008040960 is 690408004.

4008040960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4008040963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186954 + ... + 207286.

Almost surely, 2^4008040960 is an apocalyptic number.

4008040960 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 4008040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990884416).

4008040960 is an abundant number, since it is smaller than the sum of its proper divisors (7973727872).

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

4008040960 is a wasteful number, since it uses less digits than its factorization.

4008040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20374 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4008040960 is about 63309.0906584513. The cubic root of 4008040960 is about 1588.4640257055.

Adding to 4008040960 its reverse (690408004), we get a palindrome (4698448964).

The spelling of 4008040960 in words is "four billion, eight million, forty thousand, nine hundred sixty".