9793397053440 has 2304 divisors, whose sum is σ = 46455726320640. Its totient is φ = 1842091130880.

The previous prime is 9793397053409. The next prime is 9793397053499. The reversal of 9793397053440 is 443507933979.

9793397053440 is a `hidden beast` number, since 9 + 7 + 9 + 3 + 3 + 97 + 0 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4889363479 + ... + 4889365481.

It is an arithmetic number, because the mean of its divisors is an integer number (20163075660).

Almost surely, 2^{9793397053440} is an apocalyptic number.

9793397053440 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 9793397053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227863160320).

9793397053440 is an abundant number, since it is smaller than the sum of its proper divisors (36662329267200).

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

9793397053440 is a wasteful number, since it uses less digits than its factorization.

9793397053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 9793397053440 in words is "nine trillion, seven hundred ninety-three billion, three hundred ninety-seven million, fifty-three thousand, four hundred forty".