30134400192000 has 3200 divisors, whose sum is σ = 132554124743040. Its totient is φ = 6733194854400.

The previous prime is 30134400191941. The next prime is 30134400192007. The reversal of 30134400192000 is 29100443103.

30134400192000 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 440 + 0 + 19 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134400192007) 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 319 ways as a sum of consecutive naturals, for example, 33224255547 + ... + 33224256453.

Almost surely, 2^{30134400192000} is an apocalyptic number.

30134400192000 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 30134400192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66277062371520).

30134400192000 is an abundant number, since it is smaller than the sum of its proper divisors (102419724551040).

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

30134400192000 is a wasteful number, since it uses less digits than its factorization.

30134400192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30134400192000 in words is "thirty trillion, one hundred thirty-four billion, four hundred million, one hundred ninety-two thousand".