4120627200 has 288 divisors, whose sum is σ = 13791304800. Its totient is φ = 1085276160.

The previous prime is 4120627157. The next prime is 4120627241. The reversal of 4120627200 is 27260214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21350304 + ... + 21350496.

It is an arithmetic number, because the mean of its divisors is an integer number (47886475).

Almost surely, 2^4120627200 is an apocalyptic number.

4120627200 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 4120627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895652400).

4120627200 is an abundant number, since it is smaller than the sum of its proper divisors (9670677600).

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

4120627200 is a wasteful number, since it uses less digits than its factorization.

4120627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4120627200 is about 64192.1116649079. Note that the first 3 decimals coincide. The cubic root of 4120627200 is about 1603.2002613535.

Adding to 4120627200 its reverse (27260214), we get a palindrome (4147887414).

The spelling of 4120627200 in words is "four billion, one hundred twenty million, six hundred twenty-seven thousand, two hundred".