14434040000000 has 160 divisors (see below), whose sum is σ = 36049868258976. Its totient is φ = 5773600000000.

The previous prime is 14434039999987. The next prime is 14434040000089. The reversal of 14434040000000 is 4043441.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

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, 39819575 + ... + 40180425.

Almost surely, 2^{14434040000000} is an apocalyptic number.

14434040000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024934129488).

14434040000000 is an abundant number, since it is smaller than the sum of its proper divisors (21615828258976).

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

14434040000000 is an frugal number, since it uses more digits than its factorization.

14434040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360904 (or 360858 counting only the distinct ones).

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

Adding to 14434040000000 its reverse (4043441), we get a palindrome (14434044043441).

The spelling of 14434040000000 in words is "fourteen trillion, four hundred thirty-four billion, forty million", and thus it is an aban number.