4198791168 has 576 divisors, whose sum is σ = 15025046400. Its totient is φ = 1154580480.

The previous prime is 4198791161. The next prime is 4198791199. The reversal of 4198791168 is 8611978914.

4198791168 is a `hidden beast` number, since 419 + 87 + 91 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198791161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71165923 + ... + 71165981.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^4198791168 is an apocalyptic number.

4198791168 is a gapful number since it is divisible by the number (48) 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 4198791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512523200).

4198791168 is an abundant number, since it is smaller than the sum of its proper divisors (10826255232).

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

4198791168 is a wasteful number, since it uses less digits than its factorization.

4198791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The square root of 4198791168 is about 64798.0799715547. The cubic root of 4198791168 is about 1613.2738403640.

The spelling of 4198791168 in words is "four billion, one hundred ninety-eight million, seven hundred ninety-one thousand, one hundred sixty-eight".