4022219060640 has 720 divisors, whose sum is σ = 15625432690560. Its totient is φ = 973673395200.

The previous prime is 4022219060609. The next prime is 4022219060653. The reversal of 4022219060640 is 460609122204.

4022219060640 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 1 + 9 + 0 + 6 + 0 + 640 = 666.

4022219060640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4022219060595 and 4022219060604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1441137645 + ... + 1441140435.

It is an arithmetic number, because the mean of its divisors is an integer number (21701989848).

Almost surely, 2^{4022219060640} is an apocalyptic number.

4022219060640 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 4022219060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812716345280).

4022219060640 is an abundant number, since it is smaller than the sum of its proper divisors (11603213629920).

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

4022219060640 is a wasteful number, since it uses less digits than its factorization.

4022219060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4022219060640 in words is "four trillion, twenty-two billion, two hundred nineteen million, sixty thousand, six hundred forty".