214142122314420 has 144 divisors (see below), whose sum is σ = 637084511060928. Its totient is φ = 53733545164800.

The previous prime is 214142122314401. The next prime is 214142122314443. The reversal of 214142122314420 is 24413221241412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76887195 + ... + 79623645.

Almost surely, 2^{214142122314420} is an apocalyptic number.

214142122314420 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 214142122314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318542255530464).

214142122314420 is an abundant number, since it is smaller than the sum of its proper divisors (422942388746508).

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

214142122314420 is a wasteful number, since it uses less digits than its factorization.

214142122314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741010 (or 2740991 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 214142122314420 its reverse (24413221241412), we get a palindrome (238555343555832).

The spelling of 214142122314420 in words is "two hundred fourteen trillion, one hundred forty-two billion, one hundred twenty-two million, three hundred fourteen thousand, four hundred twenty".