40224212400 has 240 divisors, whose sum is σ = 137584694016. Its totient is φ = 10021186560.

The previous prime is 40224212387. The next prime is 40224212401. The reversal of 40224212400 is 421242204.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (40224212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169854 + ... + 1203746.

Almost surely, 2^40224212400 is an apocalyptic number.

40224212400 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 40224212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68792347008).

40224212400 is an abundant number, since it is smaller than the sum of its proper divisors (97360481616).

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

40224212400 is a wasteful number, since it uses less digits than its factorization.

40224212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33980 (or 33969 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40224212400 its reverse (421242204), we get a palindrome (40645454604).

The spelling of 40224212400 in words is "forty billion, two hundred twenty-four million, two hundred twelve thousand, four hundred".