4040640000 has 600 divisors, whose sum is σ = 15455140272. Its totient is φ = 1013760000.

The previous prime is 4040639971. The next prime is 4040640007. The reversal of 4040640000 is 460404.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66239970 + ... + 66240030.

Almost surely, 2^4040640000 is an apocalyptic number.

4040640000 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 4040640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727570136).

4040640000 is an abundant number, since it is smaller than the sum of its proper divisors (11414500272).

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

4040640000 is an equidigital number, since it uses as much as digits as its factorization.

4040640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

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

The square root of 4040640000 is about 63566.0286631153. The cubic root of 4040640000 is about 1592.7589455594.

The spelling of 4040640000 in words is "four billion, forty million, six hundred forty thousand".