194434742400 has 192 divisors, whose sum is σ = 641693750400. Its totient is φ = 51746099200.

The previous prime is 194434742389. The next prime is 194434742407. The reversal of 194434742400 is 4247434491.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (194434742407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4866505 + ... + 4906295.

It is an arithmetic number, because the mean of its divisors is an integer number (3342154950).

Almost surely, 2^194434742400 is an apocalyptic number.

194434742400 is a gapful number since it is divisible by the number (10) 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 194434742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320846875200).

194434742400 is an abundant number, since it is smaller than the sum of its proper divisors (447259008000).

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

194434742400 is a wasteful number, since it uses less digits than its factorization.

194434742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40327 (or 40310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 194434742400 in words is "one hundred ninety-four billion, four hundred thirty-four million, seven hundred forty-two thousand, four hundred".