4004821949856 has 768 divisors, whose sum is σ = 14315935334400. Its totient is φ = 950109253632.

The previous prime is 4004821949839. The next prime is 4004821949857. The reversal of 4004821949856 is 6589491284004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004821949856.

It is not an unprimeable number, because it can be changed into a prime (4004821949857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 530647075 + ... + 530654621.

It is an arithmetic number, because the mean of its divisors is an integer number (18640540800).

Almost surely, 2^{4004821949856} is an apocalyptic number.

4004821949856 is a gapful number since it is divisible by the number (46) 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 4004821949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157967667200).

4004821949856 is an abundant number, since it is smaller than the sum of its proper divisors (10311113384544).

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

4004821949856 is a wasteful number, since it uses less digits than its factorization.

4004821949856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 4004821949856 in words is "four trillion, four billion, eight hundred twenty-one million, nine hundred forty-nine thousand, eight hundred fifty-six".