2014134410000 has 100 divisors (see below), whose sum is σ = 4877198743692. Its totient is φ = 805525248000.

The previous prime is 2014134409967. The next prime is 2014134410051. The reversal of 2014134410000 is 144314102.

It can be written as a sum of positive squares in 10 ways, for example, as 1599789869584 + 414344540416 = 1264828^2 + 643696^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85358204 + ... + 85381796.

Almost surely, 2^{2014134410000} is an apocalyptic number.

2014134410000 is a gapful number since it is divisible by the number (20) 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 2014134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438599371846).

2014134410000 is an abundant number, since it is smaller than the sum of its proper divisors (2863064333692).

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

2014134410000 is an equidigital number, since it uses as much as digits as its factorization.

2014134410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32158 (or 32137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2014134410000 its reverse (144314102), we get a palindrome (2014278724102).

The spelling of 2014134410000 in words is "two trillion, fourteen billion, one hundred thirty-four million, four hundred ten thousand".