214142144000 has 160 divisors (see below), whose sum is σ = 557197033536. Its totient is φ = 81932083200.

The previous prime is 214142143921. The next prime is 214142144039. The reversal of 214142144000 is 441241412.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 1399262 + ... + 1544738.

Almost surely, 2^214142144000 is an apocalyptic number.

214142144000 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 214142144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278598516768).

214142144000 is an abundant number, since it is smaller than the sum of its proper divisors (343054889536).

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

214142144000 is an equidigital number, since it uses as much as digits as its factorization.

214142144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145533 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 214142144000 its reverse (441241412), we get a palindrome (214583385412).

The spelling of 214142144000 in words is "two hundred fourteen billion, one hundred forty-two million, one hundred forty-four thousand".