1742611206400 has 243 divisors, whose sum is σ = 4474960540141. Its totient is φ = 671825674240.

The previous prime is 1742611206389. The next prime is 1742611206409. The reversal of 1742611206400 is 46021162471.

The square root of 1742611206400 is 1320080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1589899071744 + 152712134656 = 1260912^2 + 390784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1742611206409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3062585316 + ... + 3062585884.

Almost surely, 2^{1742611206400} is an apocalyptic number.

1742611206400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1742611206400 is the 1320080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742611206400

1742611206400 is an abundant number, since it is smaller than the sum of its proper divisors (2732349333741).

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

1742611206400 is an frugal number, since it uses more digits than its factorization.

1742611206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 1742611206400 its reverse (46021162471), we get a palindrome (1788632368871).

The spelling of 1742611206400 in words is "one trillion, seven hundred forty-two billion, six hundred eleven million, two hundred six thousand, four hundred".