242661580237440 has 2304 divisors, whose sum is σ = 1128784756619520. Its totient is φ = 48503225253888.

The previous prime is 242661580237397. The next prime is 242661580237477. The reversal of 242661580237440 is 44732085166242.

It is a happy number.

242661580237440 is a `hidden beast` number, since 2 + 4 + 26 + 6 + 1 + 580 + 2 + 37 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5108963772 + ... + 5109011268.

It is an arithmetic number, because the mean of its divisors is an integer number (489923939505).

Almost surely, 2^{242661580237440} is an apocalyptic number.

242661580237440 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 242661580237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564392378309760).

242661580237440 is an abundant number, since it is smaller than the sum of its proper divisors (886123176382080).

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

242661580237440 is a wasteful number, since it uses less digits than its factorization.

242661580237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47589 (or 47546 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 242661580237440 in words is "two hundred forty-two trillion, six hundred sixty-one billion, five hundred eighty million, two hundred thirty-seven thousand, four hundred forty".