14241142404 has 72 divisors (see below), whose sum is σ = 37658439000. Its totient is φ = 4531828224.

The previous prime is 14241142381. The next prime is 14241142429. The reversal of 14241142404 is 40424114241.

It is a happy number.

14241142404 is a `hidden beast` number, since 1 + 4 + 2 + 411 + 4 + 240 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156200004 + 14084942400 = 12498^2 + 118680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16282 + ... + 169550.

It is an arithmetic number, because the mean of its divisors is an integer number (523033875).

Almost surely, 2^14241142404 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 14241142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829219500).

14241142404 is an abundant number, since it is smaller than the sum of its proper divisors (23417296596).

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

14241142404 is a wasteful number, since it uses less digits than its factorization.

14241142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153397 (or 153392 counting only the distinct ones).

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

Adding to 14241142404 its reverse (40424114241), we get a palindrome (54665256645).

It can be divided in two parts, 1424 and 1142404, that added together give a triangular number (1143828 = T₁₅₁₂).

The spelling of 14241142404 in words is "fourteen billion, two hundred forty-one million, one hundred forty-two thousand, four hundred four".