4104825984 has 384 divisors, whose sum is σ = 14836348800. Its totient is φ = 1102823424.

The previous prime is 4104825979. The next prime is 4104826009. The reversal of 4104825984 is 4895284014.

4104825984 is a `hidden beast` number, since 4 + 10 + 48 + 2 + 598 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700822 + ... + 3701930.

It is an arithmetic number, because the mean of its divisors is an integer number (38636325).

Almost surely, 2^4104825984 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 4104825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418174400).

4104825984 is an abundant number, since it is smaller than the sum of its proper divisors (10731522816).

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

4104825984 is a wasteful number, since it uses less digits than its factorization.

4104825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4104825984 is about 64068.9158953076. The cubic root of 4104825984 is about 1601.1483922165.

The spelling of 4104825984 in words is "four billion, one hundred four million, eight hundred twenty-five thousand, nine hundred eighty-four".