40224131200 has 192 divisors, whose sum is σ = 108606352320. Its totient is φ = 14599065600.

The previous prime is 40224131183. The next prime is 40224131209. The reversal of 40224131200 is 213142204.

It is not an unprimeable number, because it can be changed into a prime (40224131209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30869749 + ... + 30871051.

It is an arithmetic number, because the mean of its divisors is an integer number (565658085).

Almost surely, 2^40224131200 is an apocalyptic number.

40224131200 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 40224131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54303176160).

40224131200 is an abundant number, since it is smaller than the sum of its proper divisors (68382221120).

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

40224131200 is a wasteful number, since it uses less digits than its factorization.

40224131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 40224131200 its reverse (213142204), we get a palindrome (40437273404).

The spelling of 40224131200 in words is "forty billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred".