193141791440 has 80 divisors (see below), whose sum is σ = 483669959808. Its totient is φ = 71303182848.

The previous prime is 193141791307. The next prime is 193141791443. The reversal of 193141791440 is 44197141391.

193141791440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 439479²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 193141791391 and 193141791400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193141791443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11418029 + ... + 11434931.

Almost surely, 2^193141791440 is an apocalyptic number.

193141791440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193141791440 is an abundant number, since it is smaller than the sum of its proper divisors (290528168368).

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

193141791440 is a wasteful number, since it uses less digits than its factorization.

193141791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27916 (or 27910 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 193141791440 in words is "one hundred ninety-three billion, one hundred forty-one million, seven hundred ninety-one thousand, four hundred forty".