242824496040 has 576 divisors, whose sum is σ = 933600245760. Its totient is φ = 54569410560.

The previous prime is 242824495987. The next prime is 242824496041. The reversal of 242824496040 is 40694428242.

242824496040 is a `hidden beast` number, since 2 + 42 + 82 + 4 + 496 + 0 + 40 = 666.

242824496040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (242824496041) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 326815909 + ... + 326816651.

It is an arithmetic number, because the mean of its divisors is an integer number (1620833760).

Almost surely, 2^242824496040 is an apocalyptic number.

242824496040 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 242824496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466800122880).

242824496040 is an abundant number, since it is smaller than the sum of its proper divisors (690775749720).

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

242824496040 is a wasteful number, since it uses less digits than its factorization.

242824496040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 242824496040 in words is "two hundred forty-two billion, eight hundred twenty-four million, four hundred ninety-six thousand, forty".