19194913440000 has 675 divisors, whose sum is σ = 71580621335377. Its totient is φ = 5114437632000.

The previous prime is 19194913439983. The next prime is 19194913440023. The reversal of 19194913440000 is 4431949191.

The square root of 19194913440000 is 4381200.

It is a perfect power (a square), and thus also a powerful number.

19194913440000 is a `hidden beast` number, since 1 + 9 + 194 + 9 + 13 + 440 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17131254776064 + 2063658663936 = 4138992^2 + 1436544^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 15772319392 + ... + 15772320608.

Almost surely, 2^{19194913440000} is an apocalyptic number.

19194913440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19194913440000 is the 4381200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19194913440000

19194913440000 is an abundant number, since it is smaller than the sum of its proper divisors (52385707895377).

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

19194913440000 is an frugal number, since it uses more digits than its factorization.

19194913440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19194913440000 in words is "nineteen trillion, one hundred ninety-four billion, nine hundred thirteen million, four hundred forty thousand".