9940075578720 has 1152 divisors, whose sum is σ = 43763380254720. Its totient is φ = 2092836372480.

The previous prime is 9940075578701. The next prime is 9940075578757. The reversal of 9940075578720 is 278755700499.

9940075578720 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 0 + 7 + 557 + 8 + 72 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169102935 + ... + 169161705.

It is an arithmetic number, because the mean of its divisors is an integer number (37989045360).

Almost surely, 2^{9940075578720} is an apocalyptic number.

9940075578720 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 9940075578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881690127360).

9940075578720 is an abundant number, since it is smaller than the sum of its proper divisors (33823304676000).

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

9940075578720 is a wasteful number, since it uses less digits than its factorization.

9940075578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58873 (or 58852 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 9940075578720 in words is "nine trillion, nine hundred forty billion, seventy-five million, five hundred seventy-eight thousand, seven hundred twenty".