4004937549184 has 128 divisors (see below), whose sum is σ = 9501850824480. Its totient is φ = 1657373736960.

The previous prime is 4004937549139. The next prime is 4004937549191. The reversal of 4004937549184 is 4819457394004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162447 + ... + 2834830.

Almost surely, 2^{4004937549184} is an apocalyptic number.

4004937549184 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 4004937549184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750925412240).

4004937549184 is an abundant number, since it is smaller than the sum of its proper divisors (5496913275296).

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

4004937549184 is a wasteful number, since it uses less digits than its factorization.

4004937549184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997388 (or 2997376 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 4004937549184 in words is "four trillion, four billion, nine hundred thirty-seven million, five hundred forty-nine thousand, one hundred eighty-four".