40048800 has 288 divisors, whose sum is σ = 149615424. Its totient is φ = 9216000.

The previous prime is 40048777. The next prime is 40048817. The reversal of 40048800 is 884004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976780 + ... + 976820.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^40048800 is an apocalyptic number.

40048800 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 40048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

40048800 is an abundant number, since it is smaller than the sum of its proper divisors (109566624).

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

40048800 is a wasteful number, since it uses less digits than its factorization.

40048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40048800 is about 6328.4121231159. The cubic root of 40048800 is about 342.1342108589.

The spelling of 40048800 in words is "forty million, forty-eight thousand, eight hundred".