40884800 has 168 divisors, whose sum is σ = 115653312. Its totient is φ = 14080000.

The previous prime is 40884761. The next prime is 40884829. The reversal of 40884800 is 848804.

40884800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 404750 + ... + 404850.

Almost surely, 2^40884800 is an apocalyptic number.

40884800 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 40884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57826656).

40884800 is an abundant number, since it is smaller than the sum of its proper divisors (74768512).

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

40884800 is a wasteful number, since it uses less digits than its factorization.

40884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 40884800 is about 6394.1223009886. The cubic root of 40884800 is about 344.4984661098.

It can be divided in two parts, 4088 and 4800, that added together give a palindrome (8888).

The spelling of 40884800 in words is "forty million, eight hundred eighty-four thousand, eight hundred".