4005487204992 has 768 divisors, whose sum is σ = 14916545280000. Its totient is φ = 1003197726720.

The previous prime is 4005487204991. The next prime is 4005487205129. The reversal of 4005487204992 is 2994027845004.

It is a happy number.

4005487204992 is a `hidden beast` number, since 4 + 0 + 0 + 54 + 87 + 20 + 499 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4005487204991) by changing a digit.

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, 185437009 + ... + 185458607.

It is an arithmetic number, because the mean of its divisors is an integer number (19422585000).

Almost surely, 2^{4005487204992} is an apocalyptic number.

4005487204992 is a gapful number since it is divisible by the number (42) 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 4005487204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458272640000).

4005487204992 is an abundant number, since it is smaller than the sum of its proper divisors (10911058075008).

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

4005487204992 is a wasteful number, since it uses less digits than its factorization.

4005487204992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21729 (or 21714 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4005487204992 in words is "four trillion, five billion, four hundred eighty-seven million, two hundred four thousand, nine hundred ninety-two".