214010140344 has 512 divisors, whose sum is σ = 739152691200. Its totient is φ = 49839390720.

The previous prime is 214010140273. The next prime is 214010140369. The reversal of 214010140344 is 443041010412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230365672 + ... + 230366600.

It is an arithmetic number, because the mean of its divisors is an integer number (1443657600).

Almost surely, 2^214010140344 is an apocalyptic number.

214010140344 is a gapful number since it is divisible by the number (24) 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 214010140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369576345600).

214010140344 is an abundant number, since it is smaller than the sum of its proper divisors (525142550856).

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

214010140344 is a wasteful number, since it uses less digits than its factorization.

214010140344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214010140344 its reverse (443041010412), we get a palindrome (657051150756).

The spelling of 214010140344 in words is "two hundred fourteen billion, ten million, one hundred forty thousand, three hundred forty-four".