4123152384 has 208 divisors, whose sum is σ = 12087556992. Its totient is φ = 1242169344.

The previous prime is 4123152379. The next prime is 4123152487. The reversal of 4123152384 is 4832513214.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8466189 + ... + 8466675.

Almost surely, 2^4123152384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043778496).

4123152384 is an abundant number, since it is smaller than the sum of its proper divisors (7964404608).

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

4123152384 is a wasteful number, since it uses less digits than its factorization.

4123152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 4123152384 is about 64211.7776112763. Note that the first 3 decimals coincide. The cubic root of 4123152384 is about 1603.5276831079.

Adding to 4123152384 its reverse (4832513214), we get a palindrome (8955665598).

The spelling of 4123152384 in words is "four billion, one hundred twenty-three million, one hundred fifty-two thousand, three hundred eighty-four".