4198503820320 has 432 divisors, whose sum is σ = 16020828008640. Its totient is φ = 998280142848.

The previous prime is 4198503820297. The next prime is 4198503820321. The reversal of 4198503820320 is 230283058914.

4198503820320 is a `hidden beast` number, since 4 + 1 + 98 + 503 + 8 + 20 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4198503820321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7641549 + ... + 8172531.

It is an arithmetic number, because the mean of its divisors is an integer number (37085250020).

Almost surely, 2^{4198503820320} is an apocalyptic number.

4198503820320 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 4198503820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010414004320).

4198503820320 is an abundant number, since it is smaller than the sum of its proper divisors (11822324188320).

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

4198503820320 is a wasteful number, since it uses less digits than its factorization.

4198503820320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531057 (or 531029 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4198503820320 in words is "four trillion, one hundred ninety-eight billion, five hundred three million, eight hundred twenty thousand, three hundred twenty".