14212412142240 has 384 divisors, whose sum is σ = 48528679772160. Its totient is φ = 3475590893568.

The previous prime is 14212412142233. The next prime is 14212412142277. The reversal of 14212412142240 is 4224121421241.

14212412142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14212412142198 and 14212412142207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678483447 + ... + 678504393.

It is an arithmetic number, because the mean of its divisors is an integer number (126376770240).

Almost surely, 2^{14212412142240} is an apocalyptic number.

14212412142240 is a gapful number since it is divisible by the number (10) 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 14212412142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264339886080).

14212412142240 is an abundant number, since it is smaller than the sum of its proper divisors (34316267629920).

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

14212412142240 is a wasteful number, since it uses less digits than its factorization.

14212412142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21684 (or 21676 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 14212412142240 its reverse (4224121421241), we get a palindrome (18436533563481).

The spelling of 14212412142240 in words is "fourteen trillion, two hundred twelve billion, four hundred twelve million, one hundred forty-two thousand, two hundred forty".