30034047866400 has 432 divisors, whose sum is σ = 109865515032000. Its totient is φ = 8006494325760.

The previous prime is 30034047866377. The next prime is 30034047866441. The reversal of 30034047866400 is 466874043003.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 645190326 + ... + 645236874.

Almost surely, 2^{30034047866400} is an apocalyptic number.

30034047866400 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 30034047866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54932757516000).

30034047866400 is an abundant number, since it is smaller than the sum of its proper divisors (79831467165600).

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

30034047866400 is a wasteful number, since it uses less digits than its factorization.

30034047866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49903 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 30034047866400 in words is "thirty trillion, thirty-four billion, forty-seven million, eight hundred sixty-six thousand, four hundred".