4214505120 has 96 divisors (see below), whose sum is σ = 15172230528. Its totient is φ = 963314688.

The previous prime is 4214505109. The next prime is 4214505143. The reversal of 4214505120 is 215054124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 623799 + ... + 630518.

It is an arithmetic number, because the mean of its divisors is an integer number (158044068).

Almost surely, 2^4214505120 is an apocalyptic number.

4214505120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214505120 is an abundant number, since it is smaller than the sum of its proper divisors (10957725408).

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

4214505120 is a wasteful number, since it uses less digits than its factorization.

4214505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254342 (or 1254334 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4214505120 is about 64919.2199583452. The cubic root of 4214505120 is about 1615.2838909602.

Adding to 4214505120 its reverse (215054124), we get a palindrome (4429559244).

The spelling of 4214505120 in words is "four billion, two hundred fourteen million, five hundred five thousand, one hundred twenty".