9917723773440 has 1920 divisors, whose sum is σ = 43077729277440. Its totient is φ = 2144533708800.

The previous prime is 9917723773439. The next prime is 9917723773499. The reversal of 9917723773440 is 443773277199.

9917723773440 is a `hidden beast` number, since 9 + 91 + 7 + 7 + 2 + 37 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×9917723773440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14147965090 + ... + 14147965790.

It is an arithmetic number, because the mean of its divisors is an integer number (22436317332).

Almost surely, 2^{9917723773440} is an apocalyptic number.

9917723773440 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 9917723773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538864638720).

9917723773440 is an abundant number, since it is smaller than the sum of its proper divisors (33160005504000).

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

9917723773440 is an frugal number, since it uses more digits than its factorization.

9917723773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 9917723773440 in words is "nine trillion, nine hundred seventeen billion, seven hundred twenty-three million, seven hundred seventy-three thousand, four hundred forty".