340252214144 has 64 divisors (see below), whose sum is σ = 707496504480. Its totient is φ = 162688204800.

The previous prime is 340252214129. The next prime is 340252214153. The reversal of 340252214144 is 441412252043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 340252214144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13886384 + ... + 13910864.

Almost surely, 2^340252214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340252214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353748252240).

340252214144 is an abundant number, since it is smaller than the sum of its proper divisors (367244290336).

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

340252214144 is a wasteful number, since it uses less digits than its factorization.

340252214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29239 (or 29227 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 340252214144 its reverse (441412252043), we get a palindrome (781664466187).

The spelling of 340252214144 in words is "three hundred forty billion, two hundred fifty-two million, two hundred fourteen thousand, one hundred forty-four".