4004880884004 has 384 divisors, whose sum is σ = 12992530489344. Its totient is φ = 934247001600.

The previous prime is 4004880883979. The next prime is 4004880884077.

It is a happy number.

4004880884004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53740489 + ... + 53814959.

It is an arithmetic number, because the mean of its divisors is an integer number (33834714816).

Almost surely, 2^{4004880884004} is an apocalyptic number.

4004880884004 is a gapful number since it is divisible by the number (44) 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 4004880884004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496265244672).

4004880884004 is an abundant number, since it is smaller than the sum of its proper divisors (8987649605340).

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

4004880884004 is a wasteful number, since it uses less digits than its factorization.

4004880884004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74568 (or 74544 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

It can be divided in two parts, 4004880 and 884004, that added together give a palindrome (4888884).

The spelling of 4004880884004 in words is "four trillion, four billion, eight hundred eighty million, eight hundred eighty-four thousand, four".