14302222240020 has 384 divisors, whose sum is σ = 47599157329920. Its totient is φ = 3163164549120.

The previous prime is 14302222240003. The next prime is 14302222240037. The reversal of 14302222240020 is 2004222220341.

It is an interprime number because it is at equal distance from previous prime (14302222240003) and next prime (14302222240037).

It is a super-2 number, since 2×14302222240020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265927372 + ... + 265981148.

It is an arithmetic number, because the mean of its divisors is an integer number (123956138880).

Almost surely, 2^{14302222240020} is an apocalyptic number.

14302222240020 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 14302222240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23799578664960).

14302222240020 is an abundant number, since it is smaller than the sum of its proper divisors (33296935089900).

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

14302222240020 is a wasteful number, since it uses less digits than its factorization.

14302222240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54175 (or 54173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14302222240020 its reverse (2004222220341), we get a palindrome (16306444460361).

The spelling of 14302222240020 in words is "fourteen trillion, three hundred two billion, two hundred twenty-two million, two hundred forty thousand, twenty".