743213405216040 has 192 divisors, whose sum is σ = 2450834282030400. Its totient is φ = 180167600363520.

The previous prime is 743213405216017. The next prime is 743213405216053. The reversal of 743213405216040 is 40612504312347.

It is a junction number, because it is equal to n+sod(n) for n = 743213405215983 and 743213405216001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499950976 + ... + 501435344.

It is an arithmetic number, because the mean of its divisors is an integer number (12764761885575).

Almost surely, 2^{743213405216040} 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 743213405216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225417141015200).

743213405216040 is an abundant number, since it is smaller than the sum of its proper divisors (1707620876814360).

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

743213405216040 is a wasteful number, since it uses less digits than its factorization.

743213405216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518888 (or 1518873 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 743213405216040 its reverse (40612504312347), we get a palindrome (783825909528387).

The spelling of 743213405216040 in words is "seven hundred forty-three trillion, two hundred thirteen billion, four hundred five million, two hundred sixteen thousand, forty".