214340240000000 has 176 divisors, whose sum is σ = 535587782993328. Its totient is φ = 85736064000000.

The previous prime is 214340239999993. The next prime is 214340240000027. The reversal of 214340240000000 is 42043412.

It can be written as a sum of positive squares in 8 ways, for example, as 161365599256576 + 52974640743424 = 12702976^2 + 7278368^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78660374 + ... + 81339626.

Almost surely, 2^{214340240000000} is an apocalyptic number.

214340240000000 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 214340240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267793891496664).

214340240000000 is an abundant number, since it is smaller than the sum of its proper divisors (321247542993328).

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

214340240000000 is an frugal number, since it uses more digits than its factorization.

214340240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679308 (or 2679260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 214340240000000 its reverse (42043412), we get a palindrome (214340282043412).

The spelling of 214340240000000 in words is "two hundred fourteen trillion, three hundred forty billion, two hundred forty million", and thus it is an aban number.