4198004703360 has 1792 divisors, whose sum is σ = 16991536665600. Its totient is φ = 984299765760.

The previous prime is 4198004703353. The next prime is 4198004703371. The reversal of 4198004703360 is 633074008914.

4198004703360 is a `hidden beast` number, since 4 + 1 + 98 + 0 + 0 + 470 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15605965306 + ... + 15605965574.

It is an arithmetic number, because the mean of its divisors is an integer number (9481884300).

Almost surely, 2^{4198004703360} is an apocalyptic number.

4198004703360 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 4198004703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495768332800).

4198004703360 is an abundant number, since it is smaller than the sum of its proper divisors (12793531962240).

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

4198004703360 is a wasteful number, since it uses less digits than its factorization.

4198004703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4198004703360 in words is "four trillion, one hundred ninety-eight billion, four million, seven hundred three thousand, three hundred sixty".