4123509120 has 320 divisors, whose sum is σ = 15595351200. Its totient is φ = 1034698752.

The previous prime is 4123509119. The next prime is 4123509133. The reversal of 4123509120 is 219053214.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 878941 + ... + 883619.

Almost surely, 2^4123509120 is an apocalyptic number.

4123509120 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 4123509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797675600).

4123509120 is an abundant number, since it is smaller than the sum of its proper divisors (11471842080).

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

4123509120 is a wasteful number, since it uses less digits than its factorization.

4123509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4123509120 is about 64214.5553593576. Note that the first 3 decimals coincide. The cubic root of 4123509120 is about 1603.5739276235.

The spelling of 4123509120 in words is "four billion, one hundred twenty-three million, five hundred nine thousand, one hundred twenty".