4119124464 has 480 divisors, whose sum is σ = 15079034880. Its totient is φ = 1020045312.

The previous prime is 4119124421. The next prime is 4119124489. The reversal of 4119124464 is 4644219114.

It is a happy number.

4119124464 is a `hidden beast` number, since 4 + 1 + 191 + 2 + 4 + 464 = 666.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23809882 + ... + 23810054.

It is an arithmetic number, because the mean of its divisors is an integer number (31414656).

Almost surely, 2^4119124464 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 4119124464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539517440).

4119124464 is an abundant number, since it is smaller than the sum of its proper divisors (10959910416).

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

4119124464 is a wasteful number, since it uses less digits than its factorization.

4119124464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4119124464 is about 64180.4056079424. The cubic root of 4119124464 is about 1603.0053493044.

The spelling of 4119124464 in words is "four billion, one hundred nineteen million, one hundred twenty-four thousand, four hundred sixty-four".