14004434000000 has 112 divisors (see below), whose sum is σ = 34873881538290. Its totient is φ = 5601772800000.

The previous prime is 14004433999993. The next prime is 14004434000027. The reversal of 14004434000000 is 43440041.

It can be written as a sum of positive squares in 7 ways, for example, as 8479790592064 + 5524643407936 = 2912008^2 + 2350456^2 .

It is a super-2 number, since 2×14004434000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1501109 + ... + 5501108.

Almost surely, 2^{14004434000000} is an apocalyptic number.

14004434000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004434000000 is an abundant number, since it is smaller than the sum of its proper divisors (20869447538290).

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

14004434000000 is an frugal number, since it uses more digits than its factorization.

14004434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002261 (or 7002224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14004434000000 its reverse (43440041), we get a palindrome (14004477440041).

The spelling of 14004434000000 in words is "fourteen trillion, four billion, four hundred thirty-four million", and thus it is an aban number.