30193214400 has 336 divisors, whose sum is σ = 111316312800. Its totient is φ = 7960043520.

The previous prime is 30193214371. The next prime is 30193214407. The reversal of 30193214400 is 441239103.

30193214400 is a `hidden beast` number, since 30 + 19 + 3 + 214 + 400 = 666.

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 (30193214407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3840874 + ... + 3848726.

It is an arithmetic number, because the mean of its divisors is an integer number (331298550).

Almost surely, 2^30193214400 is an apocalyptic number.

30193214400 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 30193214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658156400).

30193214400 is an abundant number, since it is smaller than the sum of its proper divisors (81123098400).

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

30193214400 is a wasteful number, since it uses less digits than its factorization.

30193214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7952 counting only the distinct ones).

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

The spelling of 30193214400 in words is "thirty billion, one hundred ninety-three million, two hundred fourteen thousand, four hundred".