1713700074240 has 4032 divisors, whose sum is σ = 8616660498432. Its totient is φ = 315319910400.

The previous prime is 1713700074221. The next prime is 1713700074277. The reversal of 1713700074240 is 424700073171.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×1713700074240³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1713700074195 and 1713700074204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 28093443810 + ... + 28093443870.

It is an arithmetic number, because the mean of its divisors is an integer number (2137068576).

Almost surely, 2^{1713700074240} is an apocalyptic number.

1713700074240 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 1713700074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308330249216).

1713700074240 is an abundant number, since it is smaller than the sum of its proper divisors (6902960424192).

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

1713700074240 is a wasteful number, since it uses less digits than its factorization.

1713700074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 1713700074240 in words is "one trillion, seven hundred thirteen billion, seven hundred million, seventy-four thousand, two hundred forty".