4114214002002 has 64 divisors (see below), whose sum is σ = 8966502679680. Its totient is φ = 1250912678400.

The previous prime is 4114214001977. The next prime is 4114214002013. The reversal of 4114214002002 is 2002004124114.

It is a self number, because there is not a number n which added to its sum of digits gives 4114214002002.

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, 11070177 + ... + 11435787.

It is an arithmetic number, because the mean of its divisors is an integer number (140101604370).

Almost surely, 2^{4114214002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114214002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483251339840).

4114214002002 is an abundant number, since it is smaller than the sum of its proper divisors (4852288677678).

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

4114214002002 is a wasteful number, since it uses less digits than its factorization.

4114214002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367339.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4114214002002 its reverse (2002004124114), we get a palindrome (6116218126116).

The spelling of 4114214002002 in words is "four trillion, one hundred fourteen billion, two hundred fourteen million, two thousand, two".