242668840040 has 64 divisors (see below), whose sum is σ = 596336040000. Its totient is φ = 88140349440.

The previous prime is 242668840003. The next prime is 242668840049. The reversal of 242668840040 is 40048866242.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 242668839973 and 242668840000.

It is not an unprimeable number, because it can be changed into a prime (242668840049) 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, 56936 + ... + 698984.

It is an arithmetic number, because the mean of its divisors is an integer number (9317750625).

Almost surely, 2^242668840040 is an apocalyptic number.

242668840040 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 242668840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298168020000).

242668840040 is an abundant number, since it is smaller than the sum of its proper divisors (353667199960).

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

242668840040 is a wasteful number, since it uses less digits than its factorization.

242668840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642930 (or 642926 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 242668840040 in words is "two hundred forty-two billion, six hundred sixty-eight million, eight hundred forty thousand, forty".