4040704800 has 432 divisors, whose sum is σ = 15689183328. Its totient is φ = 970444800.

The previous prime is 4040704783. The next prime is 4040704807. The reversal of 4040704800 is 84070404.

It is not an unprimeable number, because it can be changed into a prime (4040704807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12909444 + ... + 12909756.

It is an arithmetic number, because the mean of its divisors is an integer number (36317554).

Almost surely, 2^4040704800 is an apocalyptic number.

4040704800 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 4040704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844591664).

4040704800 is an abundant number, since it is smaller than the sum of its proper divisors (11648478528).

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

4040704800 is a wasteful number, since it uses less digits than its factorization.

4040704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4040704800 is about 63566.5383672888. The cubic root of 4040704800 is about 1592.7674599060.

The spelling of 4040704800 in words is "four billion, forty million, seven hundred four thousand, eight hundred".