4755129120 has 288 divisors, whose sum is σ = 18941465088. Its totient is φ = 1063655424.

The previous prime is 4755129077. The next prime is 4755129139. The reversal of 4755129120 is 219215574.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4755129120² = 45222505895743948800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468742 + ... + 478778.

It is an arithmetic number, because the mean of its divisors is an integer number (65768976).

Almost surely, 2^4755129120 is an apocalyptic number.

4755129120 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 4755129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470732544).

4755129120 is an abundant number, since it is smaller than the sum of its proper divisors (14186335968).

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

4755129120 is a wasteful number, since it uses less digits than its factorization.

4755129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4755129120 is about 68957.4442681862. Note that the first 3 decimals coincide. The cubic root of 4755129120 is about 1681.5925375136.

The spelling of 4755129120 in words is "four billion, seven hundred fifty-five million, one hundred twenty-nine thousand, one hundred twenty".