9659465101440 has 1024 divisors, whose sum is σ = 42768729907200. Its totient is φ = 2001677598720.

The previous prime is 9659465101369. The next prime is 9659465101459. The reversal of 9659465101440 is 441015649569.

9659465101440 is a `hidden beast` number, since 9 + 6 + 5 + 94 + 6 + 5 + 101 + 440 = 666.

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 127 ways as a sum of consecutive naturals, for example, 496289149 + ... + 496308611.

It is an arithmetic number, because the mean of its divisors is an integer number (41766337800).

Almost surely, 2^{9659465101440} is an apocalyptic number.

9659465101440 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 9659465101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384364953600).

9659465101440 is an abundant number, since it is smaller than the sum of its proper divisors (33109264805760).

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

9659465101440 is a wasteful number, since it uses less digits than its factorization.

9659465101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19882 (or 19864 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

It can be divided in two parts, 965946 and 5101440, that added together give a triangular number (6067386 = T₃₄₈₃).

The spelling of 9659465101440 in words is "nine trillion, six hundred fifty-nine billion, four hundred sixty-five million, one hundred one thousand, four hundred forty".