30341240104032 has 288 divisors, whose sum is σ = 103085423400960. Its totient is φ = 8343211023360.

The previous prime is 30341240104031. The next prime is 30341240104051. The reversal of 30341240104032 is 23040104214303.

30341240104032 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 1 + 240 + 10 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 30341240103987 and 30341240104005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30341240104031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3813568 + ... + 8673279.

It is an arithmetic number, because the mean of its divisors is an integer number (357935497920).

Almost surely, 2^{30341240104032} is an apocalyptic number.

30341240104032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30341240104032 is an abundant number, since it is smaller than the sum of its proper divisors (72744183296928).

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

30341240104032 is a wasteful number, since it uses less digits than its factorization.

30341240104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12486946 (or 12486935 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30341240104032 its reverse (23040104214303), we get a palindrome (53381344318335).

The spelling of 30341240104032 in words is "thirty trillion, three hundred forty-one billion, two hundred forty million, one hundred four thousand, thirty-two".