4004416543392 has 288 divisors, whose sum is σ = 12030485306112. Its totient is φ = 1260986867712.

The previous prime is 4004416543381. The next prime is 4004416543399. The reversal of 4004416543392 is 2933456144004.

4004416543392 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 4 + 16 + 543 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4004416543399) 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, 173663128 + ... + 173686184.

It is an arithmetic number, because the mean of its divisors is an integer number (41772518424).

Almost surely, 2^{4004416543392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004416543392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015242653056).

4004416543392 is an abundant number, since it is smaller than the sum of its proper divisors (8026068762720).

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

4004416543392 is a wasteful number, since it uses less digits than its factorization.

4004416543392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23420 (or 23409 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4004416543392 in words is "four trillion, four billion, four hundred sixteen million, five hundred forty-three thousand, three hundred ninety-two".