214212343414140 has 96 divisors (see below), whose sum is σ = 681936969288960. Its totient is φ = 55794842929728.

The previous prime is 214212343414099. The next prime is 214212343414187. The reversal of 214212343414140 is 41414343212412.

214212343414140 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 234 + 3 + 4 + 1 + 414 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214212343414095 and 214212343414104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612645674 + ... + 4612692113.

It is an arithmetic number, because the mean of its divisors is an integer number (7103510096760).

Almost surely, 2^{214212343414140} is an apocalyptic number.

214212343414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214212343414140 is an abundant number, since it is smaller than the sum of its proper divisors (467724625874820).

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

214212343414140 is a wasteful number, since it uses less digits than its factorization.

214212343414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225337848 (or 9225337840 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 214212343414140 its reverse (41414343212412), we get a palindrome (255626686626552).

The spelling of 214212343414140 in words is "two hundred fourteen trillion, two hundred twelve billion, three hundred forty-three million, four hundred fourteen thousand, one hundred forty".