214313102040024 has 384 divisors, whose sum is σ = 641942190489600. Its totient is φ = 64193262981120.

The previous prime is 214313102040007. The next prime is 214313102040031. The reversal of 214313102040024 is 420040201313412.

214313102040024 is a `hidden beast` number, since 2 + 1 + 431 + 3 + 1 + 0 + 204 + 0 + 0 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214313102040024.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1595866209 + ... + 1596000495.

It is an arithmetic number, because the mean of its divisors is an integer number (1671724454400).

Almost surely, 2^{214313102040024} is an apocalyptic number.

214313102040024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214313102040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320971095244800).

214313102040024 is an abundant number, since it is smaller than the sum of its proper divisors (427629088449576).

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

214313102040024 is a wasteful number, since it uses less digits than its factorization.

214313102040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134695 (or 134688 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214313102040024 its reverse (420040201313412), we get a palindrome (634353303353436).

The spelling of 214313102040024 in words is "two hundred fourteen trillion, three hundred thirteen billion, one hundred two million, forty thousand, twenty-four".