4123128464 has 160 divisors (see below), whose sum is σ = 10228678656. Its totient is φ = 1566190080.

The previous prime is 4123128461. The next prime is 4123128467. The reversal of 4123128464 is 4648213214.

It is a happy number.

4123128464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4123128461) and next prime (4123128467).

It is not an unprimeable number, because it can be changed into a prime (4123128461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7537439 + ... + 7537985.

Almost surely, 2^4123128464 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 4123128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114339328).

4123128464 is an abundant number, since it is smaller than the sum of its proper divisors (6105550192).

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

4123128464 is a wasteful number, since it uses less digits than its factorization.

4123128464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 4123128464 is about 64211.5913523407. The cubic root of 4123128464 is about 1603.5245822074.

The spelling of 4123128464 in words is "four billion, one hundred twenty-three million, one hundred twenty-eight thousand, four hundred sixty-four".