14242012020 has 144 divisors (see below), whose sum is σ = 45925850880. Its totient is φ = 3562272000.

The previous prime is 14242012013. The next prime is 14242012079. The reversal of 14242012020 is 2021024241.

14242012020 is a `hidden beast` number, since 1 + 42 + 420 + 1 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14242011984 and 14242012002.

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 47 ways as a sum of consecutive naturals, for example, 324805 + ... + 366035.

It is an arithmetic number, because the mean of its divisors is an integer number (318929520).

Almost surely, 2^14242012020 is an apocalyptic number.

14242012020 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 14242012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22962925440).

14242012020 is an abundant number, since it is smaller than the sum of its proper divisors (31683838860).

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

14242012020 is a wasteful number, since it uses less digits than its factorization.

14242012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41366 (or 41361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14242012020 its reverse (2021024241), we get a palindrome (16263036261).

The spelling of 14242012020 in words is "fourteen billion, two hundred forty-two million, twelve thousand, twenty".