965216318040 has 480 divisors, whose sum is σ = 3532720791600. Its totient is φ = 236254786560.

The previous prime is 965216318021. The next prime is 965216318047. The reversal of 965216318040 is 40813612569.

965216318040 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 1 + 631 + 8 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×965216318040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (965216318047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99103491 + ... + 99113229.

Almost surely, 2^965216318040 is an apocalyptic number.

965216318040 is a gapful number since it is divisible by the number (90) 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 965216318040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766360395800).

965216318040 is an abundant number, since it is smaller than the sum of its proper divisors (2567504473560).

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

965216318040 is a wasteful number, since it uses less digits than its factorization.

965216318040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 965216318040 in words is "nine hundred sixty-five billion, two hundred sixteen million, three hundred eighteen thousand, forty".