4022160468480 has 3200 divisors, whose sum is σ = 18865717516800. Its totient is φ = 811550638080.

The previous prime is 4022160468437. The next prime is 4022160468509. The reversal of 4022160468480 is 848640612204.

4022160468480 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 160 + 4 + 6 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41465571792 + ... + 41465571888.

It is an arithmetic number, because the mean of its divisors is an integer number (5895536724).

Almost surely, 2^{4022160468480} is an apocalyptic number.

4022160468480 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 4022160468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432858758400).

4022160468480 is an abundant number, since it is smaller than the sum of its proper divisors (14843557048320).

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

4022160468480 is an equidigital number, since it uses as much as digits as its factorization.

4022160468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4022160468480 in words is "four trillion, twenty-two billion, one hundred sixty million, four hundred sixty-eight thousand, four hundred eighty".