4189667328000 has 2880 divisors, whose sum is σ = 19951187832576. Its totient is φ = 849346560000.

The previous prime is 4189667327983. The next prime is 4189667328019. The reversal of 4189667328000 is 8237669814.

4189667328000 is a `hidden beast` number, since 418 + 96 + 67 + 3 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 159 ways as a sum of consecutive naturals, for example, 102187007980 + ... + 102187008020.

Almost surely, 2^{4189667328000} is an apocalyptic number.

4189667328000 is a gapful number since it is divisible by the number (40) 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 4189667328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975593916288).

4189667328000 is an abundant number, since it is smaller than the sum of its proper divisors (15761520504576).

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

4189667328000 is an frugal number, since it uses more digits than its factorization.

4189667328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4189667328000 in words is "four trillion, one hundred eighty-nine billion, six hundred sixty-seven million, three hundred twenty-eight thousand".