4199010140160 has 2016 divisors, whose sum is σ = 17823979176192. Its totient is φ = 937678602240.

The previous prime is 4199010140089. The next prime is 4199010140173. The reversal of 4199010140160 is 610410109914.

4199010140160 is a `hidden beast` number, since 4 + 1 + 9 + 90 + 101 + 401 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89340641257 + ... + 89340641303.

It is an arithmetic number, because the mean of its divisors is an integer number (8841259512).

Almost surely, 2^{4199010140160} is an apocalyptic number.

4199010140160 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 4199010140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911989588096).

4199010140160 is an abundant number, since it is smaller than the sum of its proper divisors (13624969036032).

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

4199010140160 is an frugal number, since it uses more digits than its factorization.

4199010140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 4199010140160 in words is "four trillion, one hundred ninety-nine billion, ten million, one hundred forty thousand, one hundred sixty".