2001414044124 has 144 divisors (see below), whose sum is σ = 5543051675616. Its totient is φ = 603856281600.

The previous prime is 2001414044099. The next prime is 2001414044153. The reversal of 2001414044124 is 4214404141002.

It is a happy number.

2001414044124 is a `hidden beast` number, since 20 + 0 + 141 + 40 + 441 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110584644 + ... + 110602740.

It is an arithmetic number, because the mean of its divisors is an integer number (38493414414).

Almost surely, 2^{2001414044124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001414044124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771525837808).

2001414044124 is an abundant number, since it is smaller than the sum of its proper divisors (3541637631492).

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

2001414044124 is a wasteful number, since it uses less digits than its factorization.

2001414044124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19316 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2001414044124 its reverse (4214404141002), we get a palindrome (6215818185126).

The spelling of 2001414044124 in words is "two trillion, one billion, four hundred fourteen million, forty-four thousand, one hundred twenty-four".