14414004434304 has 192 divisors, whose sum is σ = 41597407378800. Its totient is φ = 4790824980480.

The previous prime is 14414004434299. The next prime is 14414004434353. The reversal of 14414004434304 is 40343440041441.

14414004434304 is a `hidden beast` number, since 1 + 44 + 140 + 0 + 4 + 43 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1131479967 + ... + 1131492705.

Almost surely, 2^{14414004434304} 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 14414004434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798703689400).

14414004434304 is an abundant number, since it is smaller than the sum of its proper divisors (27183402944496).

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

14414004434304 is a wasteful number, since it uses less digits than its factorization.

14414004434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513 (or 15498 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14414004434304 its reverse (40343440041441), we get a palindrome (54757444475745).

The spelling of 14414004434304 in words is "fourteen trillion, four hundred fourteen billion, four million, four hundred thirty-four thousand, three hundred four".