14100202413000 has 640 divisors, whose sum is σ = 53807590362240. Its totient is φ = 3415763520000.

The previous prime is 14100202412957. The next prime is 14100202413013. The reversal of 14100202413000 is 31420200141.

14100202413000 is a `hidden beast` number, since 1 + 4 + 100 + 20 + 241 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1437178095 + ... + 1437187905.

It is an arithmetic number, because the mean of its divisors is an integer number (84074359941).

Almost surely, 2^{14100202413000} is an apocalyptic number.

14100202413000 is a gapful number since it is divisible by the number (10) 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 14100202413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26903795181120).

14100202413000 is an abundant number, since it is smaller than the sum of its proper divisors (39707387949240).

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

14100202413000 is a wasteful number, since it uses less digits than its factorization.

14100202413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14100202413000 its reverse (31420200141), we get a palindrome (14131622613141).

The spelling of 14100202413000 in words is "fourteen trillion, one hundred billion, two hundred two million, four hundred thirteen thousand".