2114040144200 has 72 divisors (see below), whose sum is σ = 5221276972950. Its totient is φ = 795873914880.

The previous prime is 2114040144199. The next prime is 2114040144241. The reversal of 2114040144200 is 24410404112.

It can be written as a sum of positive squares in 9 ways, for example, as 614928862276 + 1499111281924 = 784174^2 + 1224382^2 .

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 17 ways as a sum of consecutive naturals, for example, 18229745 + ... + 18345344.

Almost surely, 2^{2114040144200} is an apocalyptic number.

2114040144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114040144200 is an abundant number, since it is smaller than the sum of its proper divisors (3107236828750).

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

2114040144200 is a wasteful number, since it uses less digits than its factorization.

2114040144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36575139 (or 36575113 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 2114040144200 its reverse (24410404112), we get a palindrome (2138450548312).

The spelling of 2114040144200 in words is "two trillion, one hundred fourteen billion, forty million, one hundred forty-four thousand, two hundred".