4199096160 has 576 divisors, whose sum is σ = 17374694400. Its totient is φ = 944262144.

The previous prime is 4199096149. The next prime is 4199096183. The reversal of 4199096160 is 616909914.

4199096160 is a `hidden beast` number, since 419 + 90 + 96 + 1 + 60 = 666.

4199096160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17569321 + ... + 17569559.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^4199096160 is an apocalyptic number.

4199096160 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 4199096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4199096160 is an abundant number, since it is smaller than the sum of its proper divisors (13175598240).

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

4199096160 is a wasteful number, since it uses less digits than its factorization.

4199096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 4199096160 is about 64800.4333318844. The cubic root of 4199096160 is about 1613.3129011065.

The spelling of 4199096160 in words is "four billion, one hundred ninety-nine million, ninety-six thousand, one hundred sixty".