40242222224204 has 192 divisors, whose sum is σ = 97523117862912. Its totient is φ = 14024544768000.

The previous prime is 40242222224179. The next prime is 40242222224213.

40242222224204 is nontrivially palindromic in base 10.

40242222224204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17948372 + ... + 20065604.

It is an arithmetic number, because the mean of its divisors is an integer number (507932905536).

Almost surely, 2^{40242222224204} is an apocalyptic number.

40242222224204 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 40242222224204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48761558931456).

40242222224204 is an abundant number, since it is smaller than the sum of its proper divisors (57280895638708).

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

40242222224204 is a wasteful number, since it uses less digits than its factorization.

40242222224204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117416 (or 2117414 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4024222 and 2224204, that added together give a palindrome (6248426).

The spelling of 40242222224204 in words is "forty trillion, two hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, two hundred four".