1713978040320 has 1680 divisors, whose sum is σ = 7707064126608. Its totient is φ = 361184624640.

The previous prime is 1713978040283. The next prime is 1713978040343. The reversal of 1713978040320 is 230408793171.

1713978040320 is a `hidden beast` number, since 17 + 139 + 7 + 80 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2113412715 + ... + 2113413525.

Almost surely, 2^{1713978040320} is an apocalyptic number.

1713978040320 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 1713978040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853532063304).

1713978040320 is an abundant number, since it is smaller than the sum of its proper divisors (5993086086288).

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

1713978040320 is an equidigital number, since it uses as much as digits as its factorization.

1713978040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1713978040320 in words is "one trillion, seven hundred thirteen billion, nine hundred seventy-eight million, forty thousand, three hundred twenty".