213144133111440 has 160 divisors (see below), whose sum is σ = 669937281269760. Its totient is φ = 56053217428992.

The previous prime is 213144133111421. The next prime is 213144133111487. The reversal of 213144133111440 is 44111331441312.

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 31 ways as a sum of consecutive naturals, for example, 15846720 + ... + 26027039.

It is an arithmetic number, because the mean of its divisors is an integer number (4187108007936).

Almost surely, 2^{213144133111440} is an apocalyptic number.

213144133111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213144133111440 is an abundant number, since it is smaller than the sum of its proper divisors (456793148158320).

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

213144133111440 is a wasteful number, since it uses less digits than its factorization.

213144133111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41874069 (or 41874063 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 213144133111440 its reverse (44111331441312), we get a palindrome (257255464552752).

The spelling of 213144133111440 in words is "two hundred thirteen trillion, one hundred forty-four billion, one hundred thirty-three million, one hundred eleven thousand, four hundred forty".