4198247820 has 144 divisors (see below), whose sum is σ = 14222426400. Its totient is φ = 1033399296.

The previous prime is 4198247813. The next prime is 4198247831. The reversal of 4198247820 is 287428914.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29956 + ... + 96404.

It is an arithmetic number, because the mean of its divisors is an integer number (98766850).

Almost surely, 2^4198247820 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 4198247820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111213200).

4198247820 is an abundant number, since it is smaller than the sum of its proper divisors (10024178580).

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

4198247820 is a wasteful number, since it uses less digits than its factorization.

4198247820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66486 (or 66472 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4198247820 is about 64793.8872116807. The cubic root of 4198247820 is about 1613.2042483558.

The spelling of 4198247820 in words is "four billion, one hundred ninety-eight million, two hundred forty-seven thousand, eight hundred twenty".