743181725441428 has 288 divisors, whose sum is σ = 1771969329930240. Its totient is φ = 265803407400960.

The previous prime is 743181725441399. The next prime is 743181725441509. The reversal of 743181725441428 is 824144527181347.

It is a super-3 number, since 3×743181725441428³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890841076 + ... + 891674932.

It is an arithmetic number, because the mean of its divisors is an integer number (6152671284480).

Almost surely, 2^{743181725441428} 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 743181725441428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885984664965120).

743181725441428 is an abundant number, since it is smaller than the sum of its proper divisors (1028787604488812).

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

743181725441428 is a wasteful number, since it uses less digits than its factorization.

743181725441428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834367 (or 834352 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 61.

The spelling of 743181725441428 in words is "seven hundred forty-three trillion, one hundred eighty-one billion, seven hundred twenty-five million, four hundred forty-one thousand, four hundred twenty-eight".