4220948160 has 672 divisors, whose sum is σ = 17580693312. Its totient is φ = 915701760.

The previous prime is 4220948119. The next prime is 4220948167. The reversal of 4220948160 is 618490224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220948167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15237942 + ... + 15238218.

It is an arithmetic number, because the mean of its divisors is an integer number (26161746).

Almost surely, 2^4220948160 is an apocalyptic number.

4220948160 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 4220948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790346656).

4220948160 is an abundant number, since it is smaller than the sum of its proper divisors (13359745152).

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

4220948160 is a wasteful number, since it uses less digits than its factorization.

4220948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4220948160 is about 64968.8245237668. The cubic root of 4220948160 is about 1616.1066083313.

The spelling of 4220948160 in words is "four billion, two hundred twenty million, nine hundred forty-eight thousand, one hundred sixty".