66281442240 has 896 divisors, whose sum is σ = 251689697280. Its totient is φ = 14631321600.

The previous prime is 66281442229. The next prime is 66281442257. The reversal of 66281442240 is 4224418266.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521901057 + ... + 521901183.

It is an arithmetic number, because the mean of its divisors is an integer number (280903680).

Almost surely, 2^66281442240 is an apocalyptic number.

66281442240 is a gapful number since it is divisible by the number (60) 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 66281442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125844848640).

66281442240 is an abundant number, since it is smaller than the sum of its proper divisors (185408255040).

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

66281442240 is a wasteful number, since it uses less digits than its factorization.

66281442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 66281442240 in words is "sixty-six billion, two hundred eighty-one million, four hundred forty-two thousand, two hundred forty".