22314414111440 has 80 divisors (see below), whose sum is σ = 57010589035200. Its totient is φ = 8055103656960.

The previous prime is 22314414111439. The next prime is 22314414111467. The reversal of 22314414111440 is 4411141441322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22314414111440³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22314414111397 and 22314414111406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92424290 + ... + 92665409.

It is an arithmetic number, because the mean of its divisors is an integer number (712632362940).

Almost surely, 2^{22314414111440} is an apocalyptic number.

22314414111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314414111440 is an abundant number, since it is smaller than the sum of its proper divisors (34696174923760).

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

22314414111440 is a wasteful number, since it uses less digits than its factorization.

22314414111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185089860 (or 185089854 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 22314414111440 its reverse (4411141441322), we get a palindrome (26725555552762).

The spelling of 22314414111440 in words is "twenty-two trillion, three hundred fourteen billion, four hundred fourteen million, one hundred eleven thousand, four hundred forty".