30240420997248 has 576 divisors, whose sum is σ = 109507792954560. Its totient is φ = 7840754380800.

The previous prime is 30240420997217. The next prime is 30240420997249. The reversal of 30240420997248 is 84279902404203.

30240420997248 is a `hidden beast` number, since 3 + 0 + 2 + 404 + 209 + 9 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 30240420997194 and 30240420997203.

It is not an unprimeable number, because it can be changed into a prime (30240420997249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557122686 + ... + 557176962.

Almost surely, 2^{30240420997248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30240420997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54753896477280).

30240420997248 is an abundant number, since it is smaller than the sum of its proper divisors (79267371957312).

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

30240420997248 is a wasteful number, since it uses less digits than its factorization.

30240420997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54897 (or 54871 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 30240420997248 in words is "thirty trillion, two hundred forty billion, four hundred twenty million, nine hundred ninety-seven thousand, two hundred forty-eight".