4199798160 has 560 divisors, whose sum is σ = 15925552128. Its totient is φ = 1026432000.

The previous prime is 4199798153. The next prime is 4199798189. The reversal of 4199798160 is 618979914.

4199798160 is a `hidden beast` number, since 419 + 97 + 9 + 81 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4199798097 and 4199798106.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 41582110 + ... + 41582210.

Almost surely, 2^4199798160 is an apocalyptic number.

4199798160 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 4199798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962776064).

4199798160 is an abundant number, since it is smaller than the sum of its proper divisors (11725753968).

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

4199798160 is a wasteful number, since it uses less digits than its factorization.

4199798160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 4199798160 is about 64805.8497359613. The cubic root of 4199798160 is about 1613.4028000202.

The spelling of 4199798160 in words is "four billion, one hundred ninety-nine million, seven hundred ninety-eight thousand, one hundred sixty".