65866141440 has 1296 divisors, whose sum is σ = 278069815296. Its totient is φ = 14780620800.

The previous prime is 65866141423. The next prime is 65866141441. The reversal of 65866141440 is 4414166856.

65866141440 is a `hidden beast` number, since 6 + 5 + 8 + 66 + 141 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65866141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2124714225 + ... + 2124714255.

Almost surely, 2^65866141440 is an apocalyptic number.

65866141440 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 65866141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139034907648).

65866141440 is an abundant number, since it is smaller than the sum of its proper divisors (212203673856).

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

65866141440 is an equidigital number, since it uses as much as digits as its factorization.

65866141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 65866141440 in words is "sixty-five billion, eight hundred sixty-six million, one hundred forty-one thousand, four hundred forty".