242013241040 has 40 divisors (see below), whose sum is σ = 562866382728. Its totient is φ = 96773365760.

The previous prime is 242013241031. The next prime is 242013241049. The reversal of 242013241040 is 40142310242.

It is an interprime number because it is at equal distance from previous prime (242013241031) and next prime (242013241049).

It can be written as a sum of positive squares in 4 ways, for example, as 172783211584 + 69230029456 = 415672^2 + 263116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 242013240997 and 242013241015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242013241049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254117 + ... + 740676.

Almost surely, 2^242013241040 is an apocalyptic number.

242013241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013241040 is an abundant number, since it is smaller than the sum of its proper divisors (320853141688).

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

242013241040 is a wasteful number, since it uses less digits than its factorization.

242013241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997847 (or 997841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 242013241040 its reverse (40142310242), we get a palindrome (282155551282).

The spelling of 242013241040 in words is "two hundred forty-two billion, thirteen million, two hundred forty-one thousand, forty".