30950400000 has 672 divisors, whose sum is σ = 114673660416. Its totient is φ = 7372800000.

The previous prime is 30950399951. The next prime is 30950400029. The reversal of 30950400000 is 405903.

It is a self number, because there is not a number n which added to its sum of digits gives 30950400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998399985 + ... + 998400015.

It is an arithmetic number, because the mean of its divisors is an integer number (170645328).

Almost surely, 2^30950400000 is an apocalyptic number.

30950400000 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 30950400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57336830208).

30950400000 is an abundant number, since it is smaller than the sum of its proper divisors (83723260416).

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

30950400000 is an frugal number, since it uses more digits than its factorization.

30950400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 30950400000 its reverse (405903), we get a palindrome (30950805903).

The spelling of 30950400000 in words is "thirty billion, nine hundred fifty million, four hundred thousand".