4220430575760 has 960 divisors, whose sum is σ = 17468405760000. Its totient is φ = 910251095040.

The previous prime is 4220430575747. The next prime is 4220430575761. The reversal of 4220430575760 is 675750340224.

4220430575760 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 4 + 3 + 0 + 575 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4220430575761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1271595381 + ... + 1271598699.

It is an arithmetic number, because the mean of its divisors is an integer number (18196256000).

Almost surely, 2^{4220430575760} is an apocalyptic number.

4220430575760 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 4220430575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734202880000).

4220430575760 is an abundant number, since it is smaller than the sum of its proper divisors (13247975184240).

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

4220430575760 is a wasteful number, since it uses less digits than its factorization.

4220430575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 4220430575760 in words is "four trillion, two hundred twenty billion, four hundred thirty million, five hundred seventy-five thousand, seven hundred sixty".