4122780320772 has 192 divisors, whose sum is σ = 11138231193600. Its totient is φ = 1317615361920.

The previous prime is 4122780320759. The next prime is 4122780320777. The reversal of 4122780320772 is 2770230872214.

4122780320772 is a `hidden beast` number, since 412 + 27 + 8 + 0 + 3 + 207 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4122780320777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165090247 + ... + 165115217.

It is an arithmetic number, because the mean of its divisors is an integer number (58011620800).

Almost surely, 2^{4122780320772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122780320772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569115596800).

4122780320772 is an abundant number, since it is smaller than the sum of its proper divisors (7015450872828).

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

4122780320772 is a wasteful number, since it uses less digits than its factorization.

4122780320772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25623 (or 25615 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 4122780320772 in words is "four trillion, one hundred twenty-two billion, seven hundred eighty million, three hundred twenty thousand, seven hundred seventy-two".