726459210144 has 120 divisors (see below), whose sum is σ = 2142838685988. Its totient is φ = 241434224640.

The previous prime is 726459210143. The next prime is 726459210151. The reversal of 726459210144 is 441012954627.

726459210144 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 592 + 10 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 696537129744 + 29922080400 = 834588^2 + 172980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 726459210144.

It is not an unprimeable number, because it can be changed into a prime (726459210143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457674 + ... + 1289334.

Almost surely, 2^726459210144 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 726459210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071419342994).

726459210144 is an abundant number, since it is smaller than the sum of its proper divisors (1416379475844).

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

726459210144 is a wasteful number, since it uses less digits than its factorization.

726459210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832020 (or 832003 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 726459210144 in words is "seven hundred twenty-six billion, four hundred fifty-nine million, two hundred ten thousand, one hundred forty-four".