214434140201240 has 64 divisors (see below), whose sum is σ = 492823229270400. Its totient is φ = 83934893252608.

The previous prime is 214434140201231. The next prime is 214434140201249. The reversal of 214434140201240 is 42102041434412.

It is an interprime number because it is at equal distance from previous prime (214434140201231) and next prime (214434140201249).

It is a junction number, because it is equal to n+sod(n) for n = 214434140201197 and 214434140201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214434140201249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081192 + ... + 20813448.

It is an arithmetic number, because the mean of its divisors is an integer number (7700362957350).

Almost surely, 2^{214434140201240} is an apocalyptic number.

214434140201240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214434140201240 is an abundant number, since it is smaller than the sum of its proper divisors (278389089069160).

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

214434140201240 is a wasteful number, since it uses less digits than its factorization.

214434140201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18738404 (or 18738400 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 214434140201240 its reverse (42102041434412), we get a palindrome (256536181635652).

The spelling of 214434140201240 in words is "two hundred fourteen trillion, four hundred thirty-four billion, one hundred forty million, two hundred one thousand, two hundred forty".