4114102309984 has 96 divisors (see below), whose sum is σ = 8481099453120. Its totient is φ = 1962048571392.

The previous prime is 4114102309969. The next prime is 4114102310039. The reversal of 4114102309984 is 4899032014114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25123797 + ... + 25287019.

It is an arithmetic number, because the mean of its divisors is an integer number (88344785970).

Almost surely, 2^{4114102309984} 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 4114102309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240549726560).

4114102309984 is an abundant number, since it is smaller than the sum of its proper divisors (4366997143136).

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

4114102309984 is a wasteful number, since it uses less digits than its factorization.

4114102309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163592 (or 163584 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 4114102309984 in words is "four trillion, one hundred fourteen billion, one hundred two million, three hundred nine thousand, nine hundred eighty-four".