22004553505440 has 192 divisors, whose sum is σ = 80063627091840. Its totient is φ = 5020646768640.

The previous prime is 22004553505397. The next prime is 22004553505477. The reversal of 22004553505440 is 4450535540022.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122484625 + ... + 122664144.

It is an arithmetic number, because the mean of its divisors is an integer number (416998057770).

Almost surely, 2^{22004553505440} is an apocalyptic number.

22004553505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004553505440 is an abundant number, since it is smaller than the sum of its proper divisors (58059073586400).

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

22004553505440 is a wasteful number, since it uses less digits than its factorization.

22004553505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245148815 (or 245148807 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

The spelling of 22004553505440 in words is "twenty-two trillion, four billion, five hundred fifty-three million, five hundred five thousand, four hundred forty".