4222777300560 has 1280 divisors, whose sum is σ = 18110440857600. Its totient is φ = 880644980736.

The previous prime is 4222777300499. The next prime is 4222777300561. The reversal of 4222777300560 is 650037772224.

4222777300560 is a `hidden beast` number, since 4 + 2 + 227 + 77 + 300 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222777300561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9042349447 + ... + 9042349913.

It is an arithmetic number, because the mean of its divisors is an integer number (14148781920).

Almost surely, 2^{4222777300560} is an apocalyptic number.

4222777300560 is a gapful number since it is divisible by the number (40) 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 4222777300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055220428800).

4222777300560 is an abundant number, since it is smaller than the sum of its proper divisors (13887663557040).

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

4222777300560 is a wasteful number, since it uses less digits than its factorization.

4222777300560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 4222777300560 in words is "four trillion, two hundred twenty-two billion, seven hundred seventy-seven million, three hundred thousand, five hundred sixty".