4182353220 has 96 divisors (see below), whose sum is σ = 12241797120. Its totient is φ = 1065617280.

The previous prime is 4182353173. The next prime is 4182353239. The reversal of 4182353220 is 223532814.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132709 + ... + 161171.

It is an arithmetic number, because the mean of its divisors is an integer number (127518720).

Almost surely, 2^4182353220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182353220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120898560).

4182353220 is an abundant number, since it is smaller than the sum of its proper divisors (8059443900).

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

4182353220 is a wasteful number, since it uses less digits than its factorization.

4182353220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28585 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4182353220 is about 64671.1158091462. The cubic root of 4182353220 is about 1611.1658055823.

The spelling of 4182353220 in words is "four billion, one hundred eighty-two million, three hundred fifty-three thousand, two hundred twenty".