214411200000 has 480 divisors, whose sum is σ = 751856878080. Its totient is φ = 54144000000.

The previous prime is 214411199969. The next prime is 214411200079. The reversal of 214411200000 is 2114412.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 91198825 + ... + 91201175.

It is an arithmetic number, because the mean of its divisors is an integer number (1566368496).

Almost surely, 2^214411200000 is an apocalyptic number.

214411200000 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 214411200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375928439040).

214411200000 is an abundant number, since it is smaller than the sum of its proper divisors (537445678080).

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

214411200000 is an frugal number, since it uses more digits than its factorization.

214411200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 214411200000 its reverse (2114412), we get a palindrome (214413314412).

The spelling of 214411200000 in words is "two hundred fourteen billion, four hundred eleven million, two hundred thousand".