242000014020 has 192 divisors, whose sum is σ = 714947821056. Its totient is φ = 61042544640.

The previous prime is 242000013989. The next prime is 242000014049. The reversal of 242000014020 is 20410000242.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 52367310 + ... + 52371930.

It is an arithmetic number, because the mean of its divisors is an integer number (3723686568).

Almost surely, 2^242000014020 is an apocalyptic number.

242000014020 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 242000014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357473910528).

242000014020 is an abundant number, since it is smaller than the sum of its proper divisors (472947807036).

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

242000014020 is a wasteful number, since it uses less digits than its factorization.

242000014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 242000014020 its reverse (20410000242), we get a palindrome (262410014262).

The spelling of 242000014020 in words is "two hundred forty-two billion, fourteen thousand, twenty".