4040464000 has 128 divisors (see below), whose sum is σ = 10575115200. Its totient is φ = 1531008000.

The previous prime is 4040463991. The next prime is 4040464013. The reversal of 4040464000 is 4640404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 297355 + ... + 310645.

Almost surely, 2^4040464000 is an apocalyptic number.

4040464000 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 4040464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287557600).

4040464000 is an abundant number, since it is smaller than the sum of its proper divisors (6534651200).

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

4040464000 is a wasteful number, since it uses less digits than its factorization.

4040464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4040464000 is about 63564.6442607838. The cubic root of 4040464000 is about 1592.7358197143.

The spelling of 4040464000 in words is "four billion, forty million, four hundred sixty-four thousand".