4189333792144 has 80 divisors (see below), whose sum is σ = 8523633916800. Its totient is φ = 1991880963072.

The previous prime is 4189333792103. The next prime is 4189333792153. The reversal of 4189333792144 is 4412973339814.

It is a happy number.

4189333792144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4189333792144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243006277 + ... + 243023515.

It is an arithmetic number, because the mean of its divisors is an integer number (106545423960).

Almost surely, 2^{4189333792144} 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 4189333792144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261816958400).

4189333792144 is an abundant number, since it is smaller than the sum of its proper divisors (4334300124656).

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

4189333792144 is a wasteful number, since it uses less digits than its factorization.

4189333792144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25160 (or 25154 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The spelling of 4189333792144 in words is "four trillion, one hundred eighty-nine billion, three hundred thirty-three million, seven hundred ninety-two thousand, one hundred forty-four".