40224334300 has 144 divisors (see below), whose sum is σ = 93724001280. Its totient is φ = 14948778240.

The previous prime is 40224334211. The next prime is 40224334343. The reversal of 40224334300 is 343342204.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15024562 + ... + 15027238.

It is an arithmetic number, because the mean of its divisors is an integer number (650861120).

Almost surely, 2^40224334300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40224334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46862000640).

40224334300 is an abundant number, since it is smaller than the sum of its proper divisors (53499666980).

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

40224334300 is a wasteful number, since it uses less digits than its factorization.

40224334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 40224334300 its reverse (343342204), we get a palindrome (40567676504).

The spelling of 40224334300 in words is "forty billion, two hundred twenty-four million, three hundred thirty-four thousand, three hundred".