4193716101120 has 1344 divisors, whose sum is σ = 18681700040640. Its totient is φ = 884679376896.

The previous prime is 4193716101109. The next prime is 4193716101151. The reversal of 4193716101120 is 211016173914.

4193716101120 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 7 + 1 + 610 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704468064 + ... + 704474016.

It is an arithmetic number, because the mean of its divisors is an integer number (13900074435).

Almost surely, 2^{4193716101120} is an apocalyptic number.

4193716101120 is a gapful number since it is divisible by the number (40) 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 4193716101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340850020320).

4193716101120 is an abundant number, since it is smaller than the sum of its proper divisors (14487983939520).

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

4193716101120 is a wasteful number, since it uses less digits than its factorization.

4193716101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 4193716101120 in words is "four trillion, one hundred ninety-three billion, seven hundred sixteen million, one hundred one thousand, one hundred twenty".