30440424212100 has 432 divisors, whose sum is σ = 110079419049600. Its totient is φ = 6891807836160.

The previous prime is 30440424212047. The next prime is 30440424212101. The reversal of 30440424212100 is 121242404403.

30440424212100 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 0 + 424 + 21 + 210 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (30440424212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3357271767 + ... + 3357280833.

Almost surely, 2^{30440424212100} is an apocalyptic number.

30440424212100 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 30440424212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55039709524800).

30440424212100 is an abundant number, since it is smaller than the sum of its proper divisors (79638994837500).

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

30440424212100 is a wasteful number, since it uses less digits than its factorization.

30440424212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30440424212100 its reverse (121242404403), we get a palindrome (30561666616503).

The spelling of 30440424212100 in words is "thirty trillion, four hundred forty billion, four hundred twenty-four million, two hundred twelve thousand, one hundred".