30400320000 has 200 divisors, whose sum is σ = 101206241136. Its totient is φ = 8106496000.

The previous prime is 30400319959. The next prime is 30400320007. The reversal of 30400320000 is 2300403.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×30400320000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (30400320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 944167 + ... + 975833.

Almost surely, 2^30400320000 is an apocalyptic number.

30400320000 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 30400320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50603120568).

30400320000 is an abundant number, since it is smaller than the sum of its proper divisors (70805921136).

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

30400320000 is an frugal number, since it uses more digits than its factorization.

30400320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708 (or 31677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30400320000 its reverse (2300403), we get a palindrome (30402620403).

The spelling of 30400320000 in words is "thirty billion, four hundred million, three hundred twenty thousand".