4198468560 has 320 divisors, whose sum is σ = 15515006976. Its totient is φ = 925747200.

The previous prime is 4198468537. The next prime is 4198468567. The reversal of 4198468560 is 658648914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198468567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2435859 + ... + 2437581.

Almost surely, 2^4198468560 is an apocalyptic number.

4198468560 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 4198468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757503488).

4198468560 is an abundant number, since it is smaller than the sum of its proper divisors (11316538416).

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

4198468560 is a wasteful number, since it uses less digits than its factorization.

4198468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4198468560 is about 64795.5905907184. The cubic root of 4198468560 is about 1613.2325214576.

The spelling of 4198468560 in words is "four billion, one hundred ninety-eight million, four hundred sixty-eight thousand, five hundred sixty".