359889664416040 has 384 divisors, whose sum is σ = 919932152832000. Its totient is φ = 126523163289600.

The previous prime is 359889664415947. The next prime is 359889664416047. The reversal of 359889664416040 is 40614466988953.

It is not an unprimeable number, because it can be changed into a prime (359889664416047) 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 95 ways as a sum of consecutive naturals, for example, 28402618905 + ... + 28402631575.

It is an arithmetic number, because the mean of its divisors is an integer number (2395656648000).

Almost surely, 2^{359889664416040} 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 359889664416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459966076416000).

359889664416040 is an abundant number, since it is smaller than the sum of its proper divisors (560042488415960).

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

359889664416040 is a wasteful number, since it uses less digits than its factorization.

359889664416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13737 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 73.

The spelling of 359889664416040 in words is "three hundred fifty-nine trillion, eight hundred eighty-nine billion, six hundred sixty-four million, four hundred sixteen thousand, forty".