9820399034880 has 960 divisors, whose sum is σ = 40060458966528. Its totient is φ = 2176556728320.

The previous prime is 9820399034851. The next prime is 9820399034911. The reversal of 9820399034880 is 884309930289.

9820399034880 is a `hidden beast` number, since 9 + 8 + 203 + 9 + 9 + 0 + 348 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×9820399034880³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 1104279714 + ... + 1104288606.

Almost surely, 2^{9820399034880} is an apocalyptic number.

9820399034880 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 9820399034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030229483264).

9820399034880 is an abundant number, since it is smaller than the sum of its proper divisors (30240059931648).

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

9820399034880 is a wasteful number, since it uses less digits than its factorization.

9820399034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 9820399034880 in words is "nine trillion, eight hundred twenty billion, three hundred ninety-nine million, thirty-four thousand, eight hundred eighty".