4422105145200 has 60 divisors (see below), whose sum is σ = 14165476818968. Its totient is φ = 1179228038400.

The previous prime is 4422105145153. The next prime is 4422105145217. The reversal of 4422105145200 is 25415012244.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1842542611 + ... + 1842545010.

Almost surely, 2^{4422105145200} is an apocalyptic number.

4422105145200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422105145200 is an abundant number, since it is smaller than the sum of its proper divisors (9743371673768).

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

4422105145200 is a wasteful number, since it uses less digits than its factorization.

4422105145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685087642 (or 3685087631 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 4422105145200 in words is "four trillion, four hundred twenty-two billion, one hundred five million, one hundred forty-five thousand, two hundred".