1742517085428 has 108 divisors (see below), whose sum is σ = 5139035997732. Its totient is φ = 496384519680.

The previous prime is 1742517085427. The next prime is 1742517085429. The reversal of 1742517085428 is 8245807152471.

1742517085428 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 517 + 0 + 85 + 42 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1742517085427) and next prime (1742517085429).

It can be written as a sum of positive squares in 2 ways, for example, as 421943783184 + 1320573302244 = 649572^2 + 1149162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742517085427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 871143 + ... + 2060078.

Almost surely, 2^{1742517085428} is an apocalyptic number.

1742517085428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1742517085428 is an abundant number, since it is smaller than the sum of its proper divisors (3396518912304).

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

1742517085428 is a wasteful number, since it uses less digits than its factorization.

1742517085428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931582 (or 2931570 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 1742517085428 in words is "one trillion, seven hundred forty-two billion, five hundred seventeen million, eighty-five thousand, four hundred twenty-eight".