1712061941040 has 480 divisors, whose sum is σ = 6487194168000. Its totient is φ = 414708940800.

The previous prime is 1712061941039. The next prime is 1712061941153. The reversal of 1712061941040 is 401491602171.

1712061941040 is a `hidden beast` number, since 1 + 7 + 1 + 20 + 619 + 4 + 10 + 4 + 0 = 666.

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 = 1712061940986 and 1712061941004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509388960 + ... + 509392320.

It is an arithmetic number, because the mean of its divisors is an integer number (13514987850).

Almost surely, 2^{1712061941040} is an apocalyptic number.

1712061941040 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 1712061941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243597084000).

1712061941040 is an abundant number, since it is smaller than the sum of its proper divisors (4775132226960).

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

1712061941040 is a wasteful number, since it uses less digits than its factorization.

1712061941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1712061941040 in words is "one trillion, seven hundred twelve billion, sixty-one million, nine hundred forty-one thousand, forty".