242415136040 has 64 divisors (see below), whose sum is σ = 680021688960. Its totient is φ = 75557963520.

The previous prime is 242415135877. The next prime is 242415136043. The reversal of 242415136040 is 40631514242.

It is a junction number, because it is equal to n+sod(n) for n = 242415135988 and 242415136006.

It is not an unprimeable number, because it can be changed into a prime (242415136043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39350027 + ... + 39356186.

It is an arithmetic number, because the mean of its divisors is an integer number (10625338890).

Almost surely, 2^242415136040 is an apocalyptic number.

242415136040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242415136040 is an abundant number, since it is smaller than the sum of its proper divisors (437606552920).

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

242415136040 is a wasteful number, since it uses less digits than its factorization.

242415136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78706242 (or 78706238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 242415136040 in words is "two hundred forty-two billion, four hundred fifteen million, one hundred thirty-six thousand, forty".