30983040000 has 880 divisors, whose sum is σ = 125850215040. Its totient is φ = 7464960000.

The previous prime is 30983039987. The next prime is 30983040007. The reversal of 30983040000 is 4038903.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30983040007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 190079919 + ... + 190080081.

It is an arithmetic number, because the mean of its divisors is an integer number (143011608).

Almost surely, 2^30983040000 is an apocalyptic number.

30983040000 is a gapful number since it is divisible by the number (30) 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 30983040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62925107520).

30983040000 is an abundant number, since it is smaller than the sum of its proper divisors (94867175040).

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

30983040000 is a wasteful number, since it uses less digits than its factorization.

30983040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 30983040000 its reverse (4038903), we get a palindrome (30987078903).

The spelling of 30983040000 in words is "thirty billion, nine hundred eighty-three million, forty thousand".