30504409691424 has 192 divisors, whose sum is σ = 88167142103040. Its totient is φ = 9191630766080.

The previous prime is 30504409691411. The next prime is 30504409691447. The reversal of 30504409691424 is 42419690440503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7352392 + ... + 10726904.

It is an arithmetic number, because the mean of its divisors is an integer number (459203865120).

Almost surely, 2^{30504409691424} is an apocalyptic number.

30504409691424 is a gapful number since it is divisible by the number (34) 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 30504409691424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083571051520).

30504409691424 is an abundant number, since it is smaller than the sum of its proper divisors (57662732411616).

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

30504409691424 is a wasteful number, since it uses less digits than its factorization.

30504409691424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374763 (or 3374755 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 30504409691424 in words is "thirty trillion, five hundred four billion, four hundred nine million, six hundred ninety-one thousand, four hundred twenty-four".