65221013646040 has 128 divisors (see below), whose sum is σ = 175015319915520. Its totient is φ = 21387742041600.

The previous prime is 65221013646013. The next prime is 65221013646059. The reversal of 65221013646040 is 4064631012256.

It is a super-3 number, since 3×65221013646040³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 65221013645984 and 65221013646002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92778675 + ... + 93479005.

It is an arithmetic number, because the mean of its divisors is an integer number (1367307186840).

Almost surely, 2^{65221013646040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65221013646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507659957760).

65221013646040 is an abundant number, since it is smaller than the sum of its proper divisors (109794306269480).

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

65221013646040 is a wasteful number, since it uses less digits than its factorization.

65221013646040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714833 (or 714829 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 65221013646040 its reverse (4064631012256), we get a palindrome (69285644658296).

The spelling of 65221013646040 in words is "sixty-five trillion, two hundred twenty-one billion, thirteen million, six hundred forty-six thousand, forty".