9920488919040 has 2496 divisors, whose sum is σ = 42700384935936. Its totient is φ = 2162521276416.

The previous prime is 9920488919023. The next prime is 9920488919153. The reversal of 9920488919040 is 409198840299.

9920488919040 is a `hidden beast` number, since 9 + 9 + 20 + 488 + 9 + 1 + 90 + 40 = 666.

It is a super-2 number, since 2×9920488919040² (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 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, 119523962839 + ... + 119523962921.

It is an arithmetic number, because the mean of its divisors is an integer number (17107526016).

Almost surely, 2^{9920488919040} is an apocalyptic number.

9920488919040 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 9920488919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21350192467968).

9920488919040 is an abundant number, since it is smaller than the sum of its proper divisors (32779896016896).

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

9920488919040 is an equidigital number, since it uses as much as digits as its factorization.

9920488919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 9920488919040 in words is "nine trillion, nine hundred twenty billion, four hundred eighty-eight million, nine hundred nineteen thousand, forty".