4191208560 has 480 divisors, whose sum is σ = 18585096192. Its totient is φ = 819486720.

The previous prime is 4191208529. The next prime is 4191208579. The reversal of 4191208560 is 658021914.

4191208560 is a `hidden beast` number, since 4 + 1 + 91 + 2 + 0 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940257 + ... + 944703.

Almost surely, 2^4191208560 is an apocalyptic number.

4191208560 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 4191208560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292548096).

4191208560 is an abundant number, since it is smaller than the sum of its proper divisors (14393887632).

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

4191208560 is a wasteful number, since it uses less digits than its factorization.

4191208560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4191208560 is about 64739.5440206370. The cubic root of 4191208560 is about 1612.3021166942.

The spelling of 4191208560 in words is "four billion, one hundred ninety-one million, two hundred eight thousand, five hundred sixty".