96343712317440 has 2160 divisors, whose sum is σ = 414193971889152. Its totient is φ = 20607440781312.

The previous prime is 96343712317357. The next prime is 96343712317471. The reversal of 96343712317440 is 4471321734369.

96343712317440 is a `hidden beast` number, since 9 + 6 + 34 + 37 + 123 + 17 + 440 = 666.

It is a super-2 number, since 2×96343712317440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 39052983087 + ... + 39052985553.

Almost surely, 2^{96343712317440} is an apocalyptic number.

96343712317440 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 96343712317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207096985944576).

96343712317440 is an abundant number, since it is smaller than the sum of its proper divisors (317850259571712).

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

96343712317440 is a wasteful number, since it uses less digits than its factorization.

96343712317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 96343712317440 in words is "ninety-six trillion, three hundred forty-three billion, seven hundred twelve million, three hundred seventeen thousand, four hundred forty".