2001414321114 has 64 divisors (see below), whose sum is σ = 4451073113088. Its totient is φ = 595783411200.

The previous prime is 2001414321091. The next prime is 2001414321191. The reversal of 2001414321114 is 4111234141002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8425654 + ... + 8659934.

It is an arithmetic number, because the mean of its divisors is an integer number (69548017392).

Almost surely, 2^{2001414321114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001414321114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225536556544).

2001414321114 is an abundant number, since it is smaller than the sum of its proper divisors (2449658791974).

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

2001414321114 is a wasteful number, since it uses less digits than its factorization.

2001414321114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237863.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2001414321114 its reverse (4111234141002), we get a palindrome (6112648462116).

The spelling of 2001414321114 in words is "two trillion, one billion, four hundred fourteen million, three hundred twenty-one thousand, one hundred fourteen".