2014130430312 has 256 divisors, whose sum is σ = 6943442688000. Its totient is φ = 469856609280.

The previous prime is 2014130430287. The next prime is 2014130430317. The reversal of 2014130430312 is 2130340314102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2014130430317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244062 + ... + 2021837.

It is an arithmetic number, because the mean of its divisors is an integer number (27122823000).

Almost surely, 2^{2014130430312} is an apocalyptic number.

2014130430312 is a gapful number since it is divisible by the number (22) 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 2014130430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471721344000).

2014130430312 is an abundant number, since it is smaller than the sum of its proper divisors (4929312257688).

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

2014130430312 is a wasteful number, since it uses less digits than its factorization.

2014130430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265976 (or 2265972 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2014130430312 its reverse (2130340314102), we get a palindrome (4144470744414).

It can be divided in two parts, 2014130 and 430312, that added together give a palindrome (2444442).

The spelling of 2014130430312 in words is "two trillion, fourteen billion, one hundred thirty million, four hundred thirty thousand, three hundred twelve".