4114004243104 has 96 divisors (see below), whose sum is σ = 9522728167680. Its totient is φ = 1713082355712.

The previous prime is 4114004243093. The next prime is 4114004243119. The reversal of 4114004243104 is 4013424004114.

It is a super-3 number, since 3×4114004243104³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459369 + ... + 2905000.

It is an arithmetic number, because the mean of its divisors is an integer number (99195085080).

Almost surely, 2^{4114004243104} is an apocalyptic number.

It is an amenable number.

4114004243104 is an abundant number, since it is smaller than the sum of its proper divisors (5408723924576).

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

4114004243104 is a wasteful number, since it uses less digits than its factorization.

4114004243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364542 (or 3364534 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4114004243104 its reverse (4013424004114), we get a palindrome (8127428247218).

The spelling of 4114004243104 in words is "four trillion, one hundred fourteen billion, four million, two hundred forty-three thousand, one hundred four".