1742139042840 has 384 divisors, whose sum is σ = 6789056901120. Its totient is φ = 379039564800.

The previous prime is 1742139042827. The next prime is 1742139042841. The reversal of 1742139042840 is 482409312471.

1742139042840 is a `hidden beast` number, since 1 + 7 + 4 + 213 + 9 + 0 + 428 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742139042841) 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 95 ways as a sum of consecutive naturals, for example, 4582527 + ... + 4948113.

It is an arithmetic number, because the mean of its divisors is an integer number (17679835680).

Almost surely, 2^{1742139042840} is an apocalyptic number.

1742139042840 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 1742139042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394528450560).

1742139042840 is an abundant number, since it is smaller than the sum of its proper divisors (5046917858280).

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

1742139042840 is a wasteful number, since it uses less digits than its factorization.

1742139042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365703 (or 365696 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1742139042840 in words is "one trillion, seven hundred forty-two billion, one hundred thirty-nine million, forty-two thousand, eight hundred forty".