14430100004034 has 128 divisors (see below), whose sum is σ = 36013403043072. Its totient is φ = 3786971504640.

The previous prime is 14430100004011. The next prime is 14430100004083. The reversal of 14430100004034 is 43040000103441.

It is a super-3 number, since 3×14430100004034³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14430100003995 and 14430100004013.

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 63 ways as a sum of consecutive naturals, for example, 3063334 + ... + 6184190.

It is an arithmetic number, because the mean of its divisors is an integer number (281354711274).

Almost surely, 2^{14430100004034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430100004034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006701521536).

14430100004034 is an abundant number, since it is smaller than the sum of its proper divisors (21583303039038).

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

14430100004034 is a wasteful number, since it uses less digits than its factorization.

14430100004034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121220.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14430100004034 its reverse (43040000103441), we get a palindrome (57470100107475).

The spelling of 14430100004034 in words is "fourteen trillion, four hundred thirty billion, one hundred million, four thousand, thirty-four".