242903703968640 has 1536 divisors, whose sum is σ = 1019397773721600. Its totient is φ = 54299621376000.

The previous prime is 242903703968587. The next prime is 242903703968663. The reversal of 242903703968640 is 46869307309242.

242903703968640 is a `hidden beast` number, since 2 + 42 + 90 + 3 + 7 + 0 + 396 + 86 + 40 = 666.

It is a super-2 number, since 2×242903703968640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29654946945 + ... + 29654955135.

It is an arithmetic number, because the mean of its divisors is an integer number (663670425600).

Almost surely, 2^{242903703968640} is an apocalyptic number.

242903703968640 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 242903703968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509698886860800).

242903703968640 is an abundant number, since it is smaller than the sum of its proper divisors (776494069752960).

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

242903703968640 is a wasteful number, since it uses less digits than its factorization.

242903703968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 242903703968640 in words is "two hundred forty-two trillion, nine hundred three billion, seven hundred three million, nine hundred sixty-eight thousand, six hundred forty".