22344312340440 has 128 divisors (see below), whose sum is σ = 74485502208000. Its totient is φ = 5958126405504.

The previous prime is 22344312340409. The next prime is 22344312340463. The reversal of 22344312340440 is 4404321344322.

22344312340440 is a `hidden beast` number, since 2 + 234 + 4 + 3 + 12 + 3 + 404 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22344312340395 and 22344312340404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17670031 + ... + 18892289.

It is an arithmetic number, because the mean of its divisors is an integer number (581917986000).

Almost surely, 2^{22344312340440} is an apocalyptic number.

22344312340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22344312340440 is an abundant number, since it is smaller than the sum of its proper divisors (52141189867560).

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

22344312340440 is a wasteful number, since it uses less digits than its factorization.

22344312340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239206 (or 1239196 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22344312340440 its reverse (4404321344322), we get a palindrome (26748633684762).

The spelling of 22344312340440 in words is "twenty-two trillion, three hundred forty-four billion, three hundred twelve million, three hundred forty thousand, four hundred forty".