4123139328 has 576 divisors, whose sum is σ = 15572336640. Its totient is φ = 1045094400.

The previous prime is 4123139299. The next prime is 4123139329. The reversal of 4123139328 is 8239313214.

4123139328 is a `hidden beast` number, since 4 + 12 + 313 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4123139292 and 4123139301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123139329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32465601 + ... + 32465727.

Almost surely, 2^4123139328 is an apocalyptic number.

4123139328 is a gapful number since it is divisible by the number (48) 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 4123139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786168320).

4123139328 is an abundant number, since it is smaller than the sum of its proper divisors (11449197312).

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

4123139328 is a wasteful number, since it uses less digits than its factorization.

4123139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4123139328 is about 64211.6759476032. The cubic root of 4123139328 is about 1603.5259905777.

The spelling of 4123139328 in words is "four billion, one hundred twenty-three million, one hundred thirty-nine thousand, three hundred twenty-eight".