743842020000 has 240 divisors, whose sum is σ = 2568372982560. Its totient is φ = 187917696000.

The previous prime is 743842019971. The next prime is 743842020037. The reversal of 743842020000 is 20248347.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 743842020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 813754 + ... + 1466246.

It is an arithmetic number, because the mean of its divisors is an integer number (10701554094).

Almost surely, 2^743842020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743842020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284186491280).

743842020000 is an abundant number, since it is smaller than the sum of its proper divisors (1824530962560).

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

743842020000 is a wasteful number, since it uses less digits than its factorization.

743842020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652545 (or 652522 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 743842020000 its reverse (20248347), we get a palindrome (743862268347).

The spelling of 743842020000 in words is "seven hundred forty-three billion, eight hundred forty-two million, twenty thousand".