30413034432 has 252 divisors, whose sum is σ = 96915152880. Its totient is φ = 9110661120.

The previous prime is 30413034427. The next prime is 30413034479. The reversal of 30413034432 is 23443031403.

30413034432 is a `hidden beast` number, since 304 + 13 + 0 + 344 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30413034396 and 30413034405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6200493 + ... + 6205395.

It is an arithmetic number, because the mean of its divisors is an integer number (384583940).

Almost surely, 2^30413034432 is an apocalyptic number.

30413034432 is a gapful number since it is divisible by the number (32) 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 30413034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48457576440).

30413034432 is an abundant number, since it is smaller than the sum of its proper divisors (66502118448).

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

30413034432 is a wasteful number, since it uses less digits than its factorization.

30413034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30413034432 its reverse (23443031403), we get a palindrome (53856065835).

The spelling of 30413034432 in words is "thirty billion, four hundred thirteen million, thirty-four thousand, four hundred thirty-two".