4169199041280 has 1296 divisors, whose sum is σ = 18213016165344. Its totient is φ = 872738979840.

The previous prime is 4169199041269. The next prime is 4169199041341. The reversal of 4169199041280 is 821409919614.

4169199041280 is a `hidden beast` number, since 4 + 1 + 69 + 1 + 9 + 90 + 412 + 80 = 666.

It is a super-2 number, since 2×4169199041280² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 961307272 + ... + 961311608.

It is an arithmetic number, because the mean of its divisors is an integer number (14053253214).

Almost surely, 2^{4169199041280} is an apocalyptic number.

4169199041280 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 4169199041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106508082672).

4169199041280 is an abundant number, since it is smaller than the sum of its proper divisors (14043817124064).

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

4169199041280 is a wasteful number, since it uses less digits than its factorization.

4169199041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 4169199041280 in words is "four trillion, one hundred sixty-nine billion, one hundred ninety-nine million, forty-one thousand, two hundred eighty".