30461001319824 has 80 divisors (see below), whose sum is σ = 81645957419520. Its totient is φ = 9774449879040.

The previous prime is 30461001319759. The next prime is 30461001319897. The reversal of 30461001319824 is 42891310016403.

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 15 ways as a sum of consecutive naturals, for example, 31998112 + ... + 32936319.

It is an arithmetic number, because the mean of its divisors is an integer number (1020574467744).

Almost surely, 2^{30461001319824} is an apocalyptic number.

It is an amenable number.

30461001319824 is an abundant number, since it is smaller than the sum of its proper divisors (51184956099696).

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

30461001319824 is a wasteful number, since it uses less digits than its factorization.

30461001319824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64934808 (or 64934802 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 30461001319824 in words is "thirty trillion, four hundred sixty-one billion, one million, three hundred nineteen thousand, eight hundred twenty-four".