723450560040 has 384 divisors, whose sum is σ = 2626255457280. Its totient is φ = 171511603200.

The previous prime is 723450560039. The next prime is 723450560059. The reversal of 723450560040 is 40065054327.

723450560040 is a `hidden beast` number, since 7 + 2 + 3 + 4 + 5 + 0 + 5 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 723450559977 and 723450560004.

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 95 ways as a sum of consecutive naturals, for example, 30600064 + ... + 30623696.

It is an arithmetic number, because the mean of its divisors is an integer number (6839206920).

Almost surely, 2^723450560040 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 723450560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313127728640).

723450560040 is an abundant number, since it is smaller than the sum of its proper divisors (1902804897240).

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

723450560040 is a wasteful number, since it uses less digits than its factorization.

723450560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23898 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 723450560040 in words is "seven hundred twenty-three billion, four hundred fifty million, five hundred sixty thousand, forty".