20142214224240 has 160 divisors (see below), whose sum is σ = 62662824322560. Its totient is φ = 5352174185472.

The previous prime is 20142214224227. The next prime is 20142214224247. The reversal of 20142214224240 is 4242241224102.

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 = 20142214224198 and 20142214224207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142214224247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 259830606 + ... + 259908114.

It is an arithmetic number, because the mean of its divisors is an integer number (391642652016).

Almost surely, 2^{20142214224240} is an apocalyptic number.

20142214224240 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 20142214224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331412161280).

20142214224240 is an abundant number, since it is smaller than the sum of its proper divisors (42520610098320).

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

20142214224240 is a wasteful number, since it uses less digits than its factorization.

20142214224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81359 (or 81353 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 20142214224240 its reverse (4242241224102), we get a palindrome (24384455448342).

The spelling of 20142214224240 in words is "twenty trillion, one hundred forty-two billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred forty".