1973613383742 has 1536 divisors, whose sum is σ = 6433601126400. Its totient is φ = 393419980800.

The previous prime is 1973613383737. The next prime is 1973613383773. The reversal of 1973613383742 is 2473833163791.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 22175431234 + ... + 22175431322.

It is an arithmetic number, because the mean of its divisors is an integer number (4188542400).

Almost surely, 2^{1973613383742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973613383742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216800563200).

1973613383742 is an abundant number, since it is smaller than the sum of its proper divisors (4459987742658).

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

1973613383742 is a wasteful number, since it uses less digits than its factorization.

1973613383742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 57.

The spelling of 1973613383742 in words is "one trillion, nine hundred seventy-three billion, six hundred thirteen million, three hundred eighty-three thousand, seven hundred forty-two".