240813386311680 has 3456 divisors, whose sum is σ = 1093087150646400. Its totient is φ = 50397294624768.

The previous prime is 240813386311661. The next prime is 240813386311691. The reversal of 240813386311680 is 86113683318042.

240813386311680 is a `hidden beast` number, since 2 + 40 + 8 + 133 + 86 + 311 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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, 220323317214 + ... + 220323318306.

It is an arithmetic number, because the mean of its divisors is an integer number (316286791275).

Almost surely, 2^{240813386311680} is an apocalyptic number.

240813386311680 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 240813386311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546543575323200).

240813386311680 is an abundant number, since it is smaller than the sum of its proper divisors (852273764334720).

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

240813386311680 is a wasteful number, since it uses less digits than its factorization.

240813386311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 240813386311680 in words is "two hundred forty trillion, eight hundred thirteen billion, three hundred eighty-six million, three hundred eleven thousand, six hundred eighty".