30440322000 has 240 divisors, whose sum is σ = 115983915840. Its totient is φ = 7379424000.

The previous prime is 30440321983. The next prime is 30440322007. The reversal of 30440322000 is 22304403.

30440322000 is a `hidden beast` number, since 3 + 0 + 440 + 3 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30440322000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30440322007) 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 47 ways as a sum of consecutive naturals, for example, 121131 + ... + 274869.

It is an arithmetic number, because the mean of its divisors is an integer number (483266316).

Almost surely, 2^30440322000 is an apocalyptic number.

30440322000 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 30440322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57991957920).

30440322000 is an abundant number, since it is smaller than the sum of its proper divisors (85543593840).

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

30440322000 is a wasteful number, since it uses less digits than its factorization.

30440322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153779 (or 153760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30440322000 its reverse (22304403), we get a palindrome (30462626403).

It can be divided in two parts, 304 and 40322000, that added together give a palindrome (40322304).

The spelling of 30440322000 in words is "thirty billion, four hundred forty million, three hundred twenty-two thousand".