4199051207160 has 96 divisors (see below), whose sum is σ = 14152357805040. Its totient is φ = 1119746985984.

The previous prime is 4199051207093. The next prime is 4199051207167. The reversal of 4199051207160 is 617021509914.

4199051207160 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 0 + 512 + 0 + 71 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199051207167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215990857 + ... + 216010296.

Almost surely, 2^{4199051207160} is an apocalyptic number.

4199051207160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4199051207160 is an abundant number, since it is smaller than the sum of its proper divisors (9953306597880).

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

4199051207160 is a wasteful number, since it uses less digits than its factorization.

4199051207160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432001179 (or 432001163 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 4199051207160 in words is "four trillion, one hundred ninety-nine billion, fifty-one million, two hundred seven thousand, one hundred sixty".