4040812800 has 486 divisors, whose sum is σ = 15132368706. Its totient is φ = 1028505600.

The previous prime is 4040812771. The next prime is 4040812819. The reversal of 4040812800 is 82180404.

It can be written as a sum of positive squares in 3 ways, for example, as 318836736 + 3721976064 = 17856^2 + 61008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55353564 + ... + 55353636.

Almost surely, 2^4040812800 is an apocalyptic number.

4040812800 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 4040812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566184353).

4040812800 is an abundant number, since it is smaller than the sum of its proper divisors (11091555906).

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

4040812800 is a wasteful number, since it uses less digits than its factorization.

4040812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4040812800 is about 63567.3878651624. The cubic root of 4040812800 is about 1592.7816502813.

The spelling of 4040812800 in words is "four billion, forty million, eight hundred twelve thousand, eight hundred".