4475955120 has 640 divisors, whose sum is σ = 18238832640. Its totient is φ = 882524160.

The previous prime is 4475955079. The next prime is 4475955131. The reversal of 4475955120 is 215595744.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23434225 + ... + 23434415.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^4475955120 is an apocalyptic number.

4475955120 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 4475955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

4475955120 is an abundant number, since it is smaller than the sum of its proper divisors (13762877520).

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

4475955120 is a wasteful number, since it uses less digits than its factorization.

4475955120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 4475955120 is about 66902.5793224746. The cubic root of 4475955120 is about 1648.0178364708.

The spelling of 4475955120 in words is "four billion, four hundred seventy-five million, nine hundred fifty-five thousand, one hundred twenty".