4004873494272 has 432 divisors, whose sum is σ = 14501797363200. Its totient is φ = 1084024166400.

The previous prime is 4004873494231. The next prime is 4004873494273. The reversal of 4004873494272 is 2724943784004.

4004873494272 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 87 + 3 + 494 + 2 + 72 = 666.

4004873494272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004873494273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6123897 + ... + 6746247.

Almost surely, 2^{4004873494272} is an apocalyptic number.

4004873494272 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 4004873494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250898681600).

4004873494272 is an abundant number, since it is smaller than the sum of its proper divisors (10496923868928).

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

4004873494272 is a wasteful number, since it uses less digits than its factorization.

4004873494272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622409 (or 622382 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 4004873494272 in words is "four trillion, four billion, eight hundred seventy-three million, four hundred ninety-four thousand, two hundred seventy-two".