30041032896 has 672 divisors, whose sum is σ = 108448327680. Its totient is φ = 8120383488.

The previous prime is 30041032823. The next prime is 30041032907. The reversal of 30041032896 is 69823014003.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30041032896.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134713041 + ... + 134713263.

It is an arithmetic number, because the mean of its divisors is an integer number (161381440).

Almost surely, 2^30041032896 is an apocalyptic number.

30041032896 is a gapful number since it is divisible by the number (36) 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 30041032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224163840).

30041032896 is an abundant number, since it is smaller than the sum of its proper divisors (78407294784).

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

30041032896 is a wasteful number, since it uses less digits than its factorization.

30041032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 30041032896 its reverse (69823014003), we get a palindrome (99864046899).

The spelling of 30041032896 in words is "thirty billion, forty-one million, thirty-two thousand, eight hundred ninety-six".