4040884800 has 336 divisors, whose sum is σ = 14910206400. Its totient is φ = 1064448000.

The previous prime is 4040884787. The next prime is 4040884801. The reversal of 4040884800 is 84880404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4040884801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3844275 + ... + 3845325.

Almost surely, 2^4040884800 is an apocalyptic number.

4040884800 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 4040884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455103200).

4040884800 is an abundant number, since it is smaller than the sum of its proper divisors (10869321600).

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

4040884800 is a wasteful number, since it uses less digits than its factorization.

4040884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4040884800 is about 63567.9541907713. The cubic root of 4040884800 is about 1592.7911103910.

The spelling of 4040884800 in words is "four billion, forty million, eight hundred eighty-four thousand, eight hundred".