22305444435040 has 96 divisors (see below), whose sum is σ = 57597216294240. Its totient is φ = 8112933126144.

The previous prime is 22305444434989. The next prime is 22305444435047. The reversal of 22305444435040 is 4053444450322.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22305444434984 and 22305444435002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22305444435047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79888785 + ... + 80167504.

It is an arithmetic number, because the mean of its divisors is an integer number (599971003065).

Almost surely, 2^{22305444435040} is an apocalyptic number.

22305444435040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22305444435040 is an abundant number, since it is smaller than the sum of its proper divisors (35291771859200).

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

22305444435040 is a wasteful number, since it uses less digits than its factorization.

22305444435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160056384 (or 160056376 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 22305444435040 its reverse (4053444450322), we get a palindrome (26358888885362).

The spelling of 22305444435040 in words is "twenty-two trillion, three hundred five billion, four hundred forty-four million, four hundred thirty-five thousand, forty".