40224800 has 144 divisors (see below), whose sum is σ = 122617152. Its totient is φ = 12518400.

The previous prime is 40224797. The next prime is 40224851. The reversal of 40224800 is 842204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61274 + ... + 61926.

It is an arithmetic number, because the mean of its divisors is an integer number (851508).

Almost surely, 2^40224800 is an apocalyptic number.

40224800 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 40224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61308576).

40224800 is an abundant number, since it is smaller than the sum of its proper divisors (82392352).

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

40224800 is a wasteful number, since it uses less digits than its factorization.

40224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 40224800 is about 6342.3024210455. The cubic root of 40224800 is about 342.6346638663.

The spelling of 40224800 in words is "forty million, two hundred twenty-four thousand, eight hundred".