214521413240304 has 240 divisors, whose sum is σ = 604824420545280. Its totient is φ = 70977915187200.

The previous prime is 214521413240231. The next prime is 214521413240357. The reversal of 214521413240304 is 403042314125412.

214521413240304 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 21 + 4 + 1 + 324 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14417723137 + ... + 14417738015.

It is an arithmetic number, because the mean of its divisors is an integer number (2520101752272).

Almost surely, 2^{214521413240304} is an apocalyptic number.

214521413240304 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 214521413240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302412210272640).

214521413240304 is an abundant number, since it is smaller than the sum of its proper divisors (390303007304976).

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

214521413240304 is a wasteful number, since it uses less digits than its factorization.

214521413240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 214521413240304 its reverse (403042314125412), we get a palindrome (617563727365716).

The spelling of 214521413240304 in words is "two hundred fourteen trillion, five hundred twenty-one billion, four hundred thirteen million, two hundred forty thousand, three hundred four".