4123719264 has 576 divisors, whose sum is σ = 14409964800. Its totient is φ = 1024192512.

The previous prime is 4123719217. The next prime is 4123719277. The reversal of 4123719264 is 4629173214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95900427 + ... + 95900469.

It is an arithmetic number, because the mean of its divisors is an integer number (25017300).

Almost surely, 2^4123719264 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 4123719264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204982400).

4123719264 is an abundant number, since it is smaller than the sum of its proper divisors (10286245536).

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

4123719264 is a wasteful number, since it uses less digits than its factorization.

4123719264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4123719264 is about 64216.1916030529. The cubic root of 4123719264 is about 1603.6011678297.

The spelling of 4123719264 in words is "four billion, one hundred twenty-three million, seven hundred nineteen thousand, two hundred sixty-four".