214043200000000 has 936 divisors, whose sum is σ = 633522331886400. Its totient is φ = 70748160000000.

The previous prime is 214043199999991. The next prime is 214043200000093. The reversal of 214043200000000 is 2340412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 214043200000000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324799999671 + ... + 324800000329.

Almost surely, 2^{214043200000000} is an apocalyptic number.

214043200000000 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 214043200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316761165943200).

214043200000000 is an abundant number, since it is smaller than the sum of its proper divisors (419479131886400).

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

214043200000000 is an frugal number, since it uses more digits than its factorization.

214043200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 214043200000000 its reverse (2340412), we get a palindrome (214043202340412).

The spelling of 214043200000000 in words is "two hundred fourteen trillion, forty-three billion, two hundred million", and thus it is an aban number.