1742013706720 has 384 divisors, whose sum is σ = 4838870679552. Its totient is φ = 580375756800.

The previous prime is 1742013706711. The next prime is 1742013706729. The reversal of 1742013706720 is 276073102471.

It is an interprime number because it is at equal distance from previous prime (1742013706711) and next prime (1742013706729).

It is a super-2 number, since 2×1742013706720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742013706729) 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 63 ways as a sum of consecutive naturals, for example, 1827925764 + ... + 1827926716.

It is an arithmetic number, because the mean of its divisors is an integer number (12601225728).

Almost surely, 2^{1742013706720} is an apocalyptic number.

1742013706720 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 1742013706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419435339776).

1742013706720 is an abundant number, since it is smaller than the sum of its proper divisors (3096856972832).

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

1742013706720 is a wasteful number, since it uses less digits than its factorization.

1742013706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 1742013706720 in words is "one trillion, seven hundred forty-two billion, thirteen million, seven hundred six thousand, seven hundred twenty".