214311404312240 has 80 divisors (see below), whose sum is σ = 515459427235200. Its totient is φ = 82767972381696.

The previous prime is 214311404312191. The next prime is 214311404312273. The reversal of 214311404312240 is 42213404113412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 214311404312197 and 214311404312206.

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, 520190969 + ... + 520602791.

It is an arithmetic number, because the mean of its divisors is an integer number (6443242840440).

Almost surely, 2^{214311404312240} is an apocalyptic number.

214311404312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214311404312240 is an abundant number, since it is smaller than the sum of its proper divisors (301148022922960).

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

214311404312240 is a wasteful number, since it uses less digits than its factorization.

214311404312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636174 (or 636168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 214311404312240 its reverse (42213404113412), we get a palindrome (256524808425652).

The spelling of 214311404312240 in words is "two hundred fourteen trillion, three hundred eleven billion, four hundred four million, three hundred twelve thousand, two hundred forty".