40224400 has 60 divisors (see below), whose sum is σ = 97283952. Its totient is φ = 15982720.

The previous prime is 40224389. The next prime is 40224413. The reversal of 40224400 is 442204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90579 + ... + 91021.

Almost surely, 2^40224400 is an apocalyptic number.

40224400 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 40224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48641976).

40224400 is an abundant number, since it is smaller than the sum of its proper divisors (57059552).

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

40224400 is a wasteful number, since it uses less digits than its factorization.

40224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40224400 is about 6342.2708866777. The cubic root of 40224400 is about 342.6335281298.

Adding to 40224400 its reverse (442204), we get a palindrome (40666604).

The spelling of 40224400 in words is "forty million, two hundred twenty-four thousand, four hundred".