242083411015680 has 3072 divisors, whose sum is σ = 999322990848000. Its totient is φ = 55092694745088.

The previous prime is 242083411015577. The next prime is 242083411015759. The reversal of 242083411015680 is 86510114380242.

242083411015680 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 8 + 3 + 411 + 0 + 156 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 718348400472 + ... + 718348400808.

It is an arithmetic number, because the mean of its divisors is an integer number (325300452750).

Almost surely, 2^{242083411015680} is an apocalyptic number.

242083411015680 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 242083411015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499661495424000).

242083411015680 is an abundant number, since it is smaller than the sum of its proper divisors (757239579832320).

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

242083411015680 is a wasteful number, since it uses less digits than its factorization.

242083411015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 242083411015680 in words is "two hundred forty-two trillion, eighty-three billion, four hundred eleven million, fifteen thousand, six hundred eighty".