4124985984 has 384 divisors, whose sum is σ = 14511744000. Its totient is φ = 1099284480.

The previous prime is 4124985983. The next prime is 4124985989. The reversal of 4124985984 is 4895894214.

It is a happy number.

4124985984 is a `hidden beast` number, since 4 + 1 + 2 + 49 + 8 + 598 + 4 = 666.

4124985984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4124985984.

It is not an unprimeable number, because it can be changed into a prime (4124985983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7249252 + ... + 7249820.

It is an arithmetic number, because the mean of its divisors is an integer number (37791000).

Almost surely, 2^4124985984 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 4124985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255872000).

4124985984 is an abundant number, since it is smaller than the sum of its proper divisors (10386758016).

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

4124985984 is a wasteful number, since it uses less digits than its factorization.

4124985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 4124985984 is about 64226.0537788209. The cubic root of 4124985984 is about 1603.7653485594.

The spelling of 4124985984 in words is "four billion, one hundred twenty-four million, nine hundred eighty-five thousand, nine hundred eighty-four".