2014131400 has 24 divisors (see below), whose sum is σ = 4682855970. Its totient is φ = 805652480.

The previous prime is 2014131397. The next prime is 2014131443. The reversal of 2014131400 is 41314102.

It can be written as a sum of positive squares in 3 ways, for example, as 1799626084 + 214505316 = 42422^2 + 14646^2 .

It is a super-3 number, since 3×2014131400³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5035129 + ... + 5035528.

Almost surely, 2^2014131400 is an apocalyptic number.

2014131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014131400 is an abundant number, since it is smaller than the sum of its proper divisors (2668724570).

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

2014131400 is a wasteful number, since it uses less digits than its factorization.

2014131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070673 (or 10070664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014131400 is about 44879.0753024168. The cubic root of 2014131400 is about 1262.8814963163.

Adding to 2014131400 its reverse (41314102), we get a palindrome (2055445502).

The spelling of 2014131400 in words is "two billion, fourteen million, one hundred thirty-one thousand, four hundred".