214424000240 has 40 divisors (see below), whose sum is σ = 500732035920. Its totient is φ = 85391753216.

The previous prime is 214424000239. The next prime is 214424000249. The reversal of 214424000240 is 42000424412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214424000249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5885585 + ... + 5921904.

It is an arithmetic number, because the mean of its divisors is an integer number (12518300898).

Almost surely, 2^214424000240 is an apocalyptic number.

214424000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214424000240 is an abundant number, since it is smaller than the sum of its proper divisors (286308035680).

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

214424000240 is a wasteful number, since it uses less digits than its factorization.

214424000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11807729 (or 11807723 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 214424000240 its reverse (42000424412), we get a palindrome (256424424652).

The spelling of 214424000240 in words is "two hundred fourteen billion, four hundred twenty-four million, two hundred forty", and thus it is an aban number.