19434945133800 has 576 divisors, whose sum is σ = 77194247644800. Its totient is φ = 4289204275200.

The previous prime is 19434945133771. The next prime is 19434945133843. The reversal of 19434945133800 is 833154943491.

19434945133800 is a `hidden beast` number, since 1 + 9 + 4 + 3 + 4 + 94 + 513 + 38 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60913086 + ... + 61231314.

It is an arithmetic number, because the mean of its divisors is an integer number (134017791050).

Almost surely, 2^{19434945133800} is an apocalyptic number.

19434945133800 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 19434945133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38597123822400).

19434945133800 is an abundant number, since it is smaller than the sum of its proper divisors (57759302511000).

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

19434945133800 is a wasteful number, since it uses less digits than its factorization.

19434945133800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318426 (or 318414 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 19434945133800 in words is "nineteen trillion, four hundred thirty-four billion, nine hundred forty-five million, one hundred thirty-three thousand, eight hundred".