214040234240 has 144 divisors (see below), whose sum is σ = 591738981120. Its totient is φ = 72658329600.

The previous prime is 214040234237. The next prime is 214040234263. The reversal of 214040234240 is 42432040412.

It is a happy 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, 786701 + ... + 1023219.

It is an arithmetic number, because the mean of its divisors is an integer number (4109298480).

Almost surely, 2^214040234240 is an apocalyptic number.

214040234240 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 214040234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295869490560).

214040234240 is an abundant number, since it is smaller than the sum of its proper divisors (377698746880).

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

214040234240 is a wasteful number, since it uses less digits than its factorization.

214040234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236648 (or 236634 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 214040234240 its reverse (42432040412), we get a palindrome (256472274652).

The spelling of 214040234240 in words is "two hundred fourteen billion, forty million, two hundred thirty-four thousand, two hundred forty".