4198532382720 has 1120 divisors, whose sum is σ = 16366200543000. Its totient is φ = 1033484894208.

The previous prime is 4198532382689. The next prime is 4198532382721. The reversal of 4198532382720 is 272832358914.

4198532382720 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 532 + 3 + 82 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68988174336 + 4129544208384 = 262656^2 + 2032128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4198532382721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 322964029434 + ... + 322964029446.

Almost surely, 2^{4198532382720} is an apocalyptic number.

4198532382720 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 4198532382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183100271500).

4198532382720 is an abundant number, since it is smaller than the sum of its proper divisors (12167668160280).

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

4198532382720 is an frugal number, since it uses more digits than its factorization.

4198532382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4198532382720 in words is "four trillion, one hundred ninety-eight billion, five hundred thirty-two million, three hundred eighty-two thousand, seven hundred twenty".