40334434221224 has 128 divisors (see below), whose sum is σ = 90934066903680. Its totient is φ = 16526469657600.

The previous prime is 40334434221217. The next prime is 40334434221239. The reversal of 40334434221224 is 42212243443304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239037974 + ... + 239206650.

It is an arithmetic number, because the mean of its divisors is an integer number (710422397685).

Almost surely, 2^{40334434221224} is an apocalyptic number.

40334434221224 is a gapful number since it is divisible by the number (44) 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 40334434221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45467033451840).

40334434221224 is an abundant number, since it is smaller than the sum of its proper divisors (50599632682456).

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

40334434221224 is a wasteful number, since it uses less digits than its factorization.

40334434221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173611 (or 173607 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 40334434221224 its reverse (42212243443304), we get a palindrome (82546677664528).

The spelling of 40334434221224 in words is "forty trillion, three hundred thirty-four billion, four hundred thirty-four million, two hundred twenty-one thousand, two hundred twenty-four".