4188094728384 has 224 divisors, whose sum is σ = 13333605560320. Its totient is φ = 1133357847552.

The previous prime is 4188094728379. The next prime is 4188094728397. The reversal of 4188094728384 is 4838274908814.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127331589 + ... + 127364475.

Almost surely, 2^{4188094728384} 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 4188094728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666802780160).

4188094728384 is an abundant number, since it is smaller than the sum of its proper divisors (9145510831936).

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

4188094728384 is a wasteful number, since it uses less digits than its factorization.

4188094728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37915 (or 37905 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 4188094728384 in words is "four trillion, one hundred eighty-eight billion, ninety-four million, seven hundred twenty-eight thousand, three hundred eighty-four".