4198248288000 has 864 divisors, whose sum is σ = 16307923020480. Its totient is φ = 1030916505600.

The previous prime is 4198248287993. The next prime is 4198248288011. The reversal of 4198248288000 is 8828428914.

4198248288000 is a `hidden beast` number, since 4 + 1 + 9 + 82 + 482 + 8 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1905694899 + ... + 1905697101.

Almost surely, 2^{4198248288000} is an apocalyptic number.

4198248288000 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 4198248288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153961510240).

4198248288000 is an abundant number, since it is smaller than the sum of its proper divisors (12109674732480).

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

4198248288000 is a wasteful number, since it uses less digits than its factorization.

4198248288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 4198248288000 in words is "four trillion, one hundred ninety-eight billion, two hundred forty-eight million, two hundred eighty-eight thousand".