214241400011440 has 40 divisors (see below), whose sum is σ = 498136793655600. Its totient is φ = 85692166262016.

The previous prime is 214241400011417. The next prime is 214241400011449. The reversal of 214241400011440 is 44110004142412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214241400011399 and 214241400011408.

It is not an unprimeable number, because it can be changed into a prime (214241400011449) 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, 67081915 + ... + 70203034.

It is an arithmetic number, because the mean of its divisors is an integer number (12453419841390).

Almost surely, 2^{214241400011440} is an apocalyptic number.

214241400011440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241400011440 is an abundant number, since it is smaller than the sum of its proper divisors (283895393644160).

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

214241400011440 is a wasteful number, since it uses less digits than its factorization.

214241400011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137304469 (or 137304463 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 214241400011440 its reverse (44110004142412), we get a palindrome (258351404153852).

The spelling of 214241400011440 in words is "two hundred fourteen trillion, two hundred forty-one billion, four hundred million, eleven thousand, four hundred forty".