4222505169792 has 768 divisors, whose sum is σ = 15277429440000. Its totient is φ = 1089710309376.

The previous prime is 4222505169767. The next prime is 4222505169809. The reversal of 4222505169792 is 2979615052224.

4222505169792 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 50 + 516 + 9 + 79 + 2 = 666.

4222505169792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2772491143 + ... + 2772492665.

It is an arithmetic number, because the mean of its divisors is an integer number (19892486250).

Almost surely, 2^{4222505169792} is an apocalyptic number.

4222505169792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222505169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638714720000).

4222505169792 is an abundant number, since it is smaller than the sum of its proper divisors (11054924270208).

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

4222505169792 is a wasteful number, since it uses less digits than its factorization.

4222505169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4222505169792 in words is "four trillion, two hundred twenty-two billion, five hundred five million, one hundred sixty-nine thousand, seven hundred ninety-two".