214112300134240 has 288 divisors, whose sum is σ = 522180535814784. Its totient is φ = 82925883555840.

The previous prime is 214112300134219. The next prime is 214112300134253. The reversal of 214112300134240 is 42431003211412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214112300134199 and 214112300134208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44671873284 + ... + 44671878076.

It is an arithmetic number, because the mean of its divisors is an integer number (1813126860468).

Almost surely, 2^{214112300134240} is an apocalyptic number.

214112300134240 is a gapful number since it is divisible by the number (20) 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 214112300134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261090267907392).

214112300134240 is an abundant number, since it is smaller than the sum of its proper divisors (308068235680544).

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

214112300134240 is a wasteful number, since it uses less digits than its factorization.

214112300134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 214112300134240 its reverse (42431003211412), we get a palindrome (256543303345652).

The spelling of 214112300134240 in words is "two hundred fourteen trillion, one hundred twelve billion, three hundred million, one hundred thirty-four thousand, two hundred forty".