214043334004000 has 96 divisors (see below), whose sum is σ = 526681294369776. Its totient is φ = 85490866739200.

The previous prime is 214043334003893. The next prime is 214043334004121. The reversal of 214043334004000 is 400433340412.

It can be written as a sum of positive squares in 8 ways, for example, as 13401661645584 + 200641672358416 = 3660828^2 + 14164804^2 .

It is a super-3 number, since 3×214043334004000³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214043334004000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36812557 + ... + 42228556.

Almost surely, 2^{214043334004000} is an apocalyptic number.

214043334004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214043334004000 is an abundant number, since it is smaller than the sum of its proper divisors (312637960365776).

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

214043334004000 is an equidigital number, since it uses as much as digits as its factorization.

214043334004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79041815 (or 79041797 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 214043334004000 its reverse (400433340412), we get a palindrome (214443767344412).

The spelling of 214043334004000 in words is "two hundred fourteen trillion, forty-three billion, three hundred thirty-four million, four thousand".