40322222222304 has 192 divisors, whose sum is σ = 118637297194752. Its totient is φ = 11883768422400.

The previous prime is 40322222222281. The next prime is 40322222222369.

It is a happy number.

40322222222304 is nontrivially palindromic in base 10.

It is a congruent number.

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, 96181464 + ... + 96599784.

It is an arithmetic number, because the mean of its divisors is an integer number (617902589556).

Almost surely, 2^{40322222222304} is an apocalyptic number.

40322222222304 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 40322222222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59318648597376).

40322222222304 is an abundant number, since it is smaller than the sum of its proper divisors (78315074972448).

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

40322222222304 is a wasteful number, since it uses less digits than its factorization.

40322222222304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420849 (or 420841 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4032222 and 2222304, that added together give a palindrome (6254526).

The spelling of 40322222222304 in words is "forty trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred four".