96217000440 has 256 divisors, whose sum is σ = 318488785920. Its totient is φ = 23060029440.

The previous prime is 96217000393. The next prime is 96217000441. The reversal of 96217000440 is 4400071269.

It is a happy number.

It is a super-2 number, since 2×96217000440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96217000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96506022 + ... + 96507018.

It is an arithmetic number, because the mean of its divisors is an integer number (1244096820).

Almost surely, 2^96217000440 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 96217000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159244392960).

96217000440 is an abundant number, since it is smaller than the sum of its proper divisors (222271785480).

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

96217000440 is a wasteful number, since it uses less digits than its factorization.

96217000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 96217000440 in words is "ninety-six billion, two hundred seventeen million, four hundred forty", and thus it is an aban number.