4189848735744 has 351 divisors, whose sum is σ = 14087703136143. Its totient is φ = 1196313624576.

The previous prime is 4189848735733. The next prime is 4189848735857. The reversal of 4189848735744 is 4475378489814.

The square root of 4189848735744 is 2046912.

It is a perfect power (a square), and thus also a powerful number.

4189848735744 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 8 + 48 + 7 + 3 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2751048967 + ... + 2751050489.

Almost surely, 2^{4189848735744} is an apocalyptic number.

4189848735744 is the 2046912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189848735744

4189848735744 is an abundant number, since it is smaller than the sum of its proper divisors (9897854400399).

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

4189848735744 is an frugal number, since it uses more digits than its factorization.

4189848735744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 1535 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 4189848735744 in words is "four trillion, one hundred eighty-nine billion, eight hundred forty-eight million, seven hundred thirty-five thousand, seven hundred forty-four".