214015340000 has 360 divisors, whose sum is σ = 668183431608. Its totient is φ = 66702720000.

The previous prime is 214015339907. The next prime is 214015340003. The reversal of 214015340000 is 43510412.

214015340000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214015340003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10770074 + ... + 10789926.

Almost surely, 2^214015340000 is an apocalyptic number.

214015340000 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 214015340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334091715804).

214015340000 is an abundant number, since it is smaller than the sum of its proper divisors (454168091608).

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

214015340000 is a wasteful number, since it uses less digits than its factorization.

214015340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 214015340000 its reverse (43510412), we get a palindrome (214058850412).

The spelling of 214015340000 in words is "two hundred fourteen billion, fifteen million, three hundred forty thousand".