9413732144640 has 320 divisors, whose sum is σ = 32451112995840. Its totient is φ = 2320199516160.

The previous prime is 9413732144603. The next prime is 9413732144657. The reversal of 9413732144640 is 464412373149.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9413732144640.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5195977 + ... + 6769463.

It is an arithmetic number, because the mean of its divisors is an integer number (101409728112).

Almost surely, 2^{9413732144640} 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 9413732144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225556497920).

9413732144640 is an abundant number, since it is smaller than the sum of its proper divisors (23037380851200).

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

9413732144640 is a wasteful number, since it uses less digits than its factorization.

9413732144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573573 (or 1573557 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 9413732144640 in words is "nine trillion, four hundred thirteen billion, seven hundred thirty-two million, one hundred forty-four thousand, six hundred forty".