9940819120 has 80 divisors (see below), whose sum is σ = 23690126592. Its totient is φ = 3877251840.

The previous prime is 9940819111. The next prime is 9940819153. The reversal of 9940819120 is 219180499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347405 + ... + 2351635.

Almost surely, 2^9940819120 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 9940819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845063296).

9940819120 is an abundant number, since it is smaller than the sum of its proper divisors (13749307472).

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

9940819120 is a wasteful number, since it uses less digits than its factorization.

9940819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 9940819120 is about 99703.6565026579. The cubic root of 9940819120 is about 2150.1762336159.

The spelling of 9940819120 in words is "nine billion, nine hundred forty million, eight hundred nineteen thousand, one hundred twenty".