30115420016640 has 1664 divisors, whose sum is σ = 119274464010240. Its totient is φ = 6338163769344.

The previous prime is 30115420016623. The next prime is 30115420016653. The reversal of 30115420016640 is 4661002451103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39161794176 + ... + 39161794944.

Almost surely, 2^{30115420016640} is an apocalyptic number.

30115420016640 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 30115420016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59637232005120).

30115420016640 is an abundant number, since it is smaller than the sum of its proper divisors (89159043993600).

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

30115420016640 is a wasteful number, since it uses less digits than its factorization.

30115420016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 30115420016640 its reverse (4661002451103), we get a palindrome (34776422467743).

The spelling of 30115420016640 in words is "thirty trillion, one hundred fifteen billion, four hundred twenty million, sixteen thousand, six hundred forty".