4514209920 has 768 divisors, whose sum is σ = 18753638400. Its totient is φ = 1021870080.

The previous prime is 4514209913. The next prime is 4514209933. The reversal of 4514209920 is 299024154.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35544897 + ... + 35545023.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^4514209920 is an apocalyptic number.

4514209920 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 4514209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

4514209920 is an abundant number, since it is smaller than the sum of its proper divisors (14239428480).

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

4514209920 is a wasteful number, since it uses less digits than its factorization.

4514209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4514209920 is about 67187.8703338631. The cubic root of 4514209920 is about 1652.6995807813.

The spelling of 4514209920 in words is "four billion, five hundred fourteen million, two hundred nine thousand, nine hundred twenty".