214004560000 has 640 divisors, whose sum is σ = 678720240000. Its totient is φ = 66608640000.

The previous prime is 214004559961. The next prime is 214004560057. The reversal of 214004560000 is 65400412.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301839646 + ... + 301840354.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500375).

Almost surely, 2^214004560000 is an apocalyptic number.

214004560000 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 214004560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339360120000).

214004560000 is an abundant number, since it is smaller than the sum of its proper divisors (464715680000).

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

214004560000 is an frugal number, since it uses more digits than its factorization.

214004560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 214004560000 its reverse (65400412), we get a palindrome (214069960412).

The spelling of 214004560000 in words is "two hundred fourteen billion, four million, five hundred sixty thousand".