4000040640 has 168 divisors, whose sum is σ = 13813401888. Its totient is φ = 1062420480.

The previous prime is 4000040617. The next prime is 4000040677. The reversal of 4000040640 is 460400004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754800 + ... + 760080.

Almost surely, 2^4000040640 is an apocalyptic number.

4000040640 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 4000040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906700944).

4000040640 is an abundant number, since it is smaller than the sum of its proper divisors (9813361248).

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

4000040640 is a wasteful number, since it uses less digits than its factorization.

4000040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5554 counting only the distinct ones).

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

The square root of 4000040640 is about 63245.8744899618. The cubic root of 4000040640 is about 1587.4064279482.

Adding to 4000040640 its reverse (460400004), we get a palindrome (4460440644).

The spelling of 4000040640 in words is "four billion, forty thousand, six hundred forty".