4123884960 has 576 divisors, whose sum is σ = 16180819200. Its totient is φ = 985374720.

The previous prime is 4123884959. The next prime is 4123884971. The reversal of 4123884960 is 694883214.

It is a happy number.

It is a super-4 number, since 4×4123884960⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20722941 + ... + 20723139.

It is an arithmetic number, because the mean of its divisors is an integer number (28091700).

Almost surely, 2^4123884960 is an apocalyptic number.

4123884960 is a gapful number since it is divisible by the number (40) 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 4123884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090409600).

4123884960 is an abundant number, since it is smaller than the sum of its proper divisors (12056934240).

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

4123884960 is a wasteful number, since it uses less digits than its factorization.

4123884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4123884960 is about 64217.4817320019. The cubic root of 4123884960 is about 1603.6226457499.

The spelling of 4123884960 in words is "four billion, one hundred twenty-three million, eight hundred eighty-four thousand, nine hundred sixty".