726040410000 has 200 divisors, whose sum is σ = 2344753613664. Its totient is φ = 193528320000.

The previous prime is 726040409911. The next prime is 726040410013. The reversal of 726040410000 is 14040627.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108506655 + ... + 108513345.

Almost surely, 2^726040410000 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 726040410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172376806832).

726040410000 is an abundant number, since it is smaller than the sum of its proper divisors (1618713203664).

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

726040410000 is a wasteful number, since it uses less digits than its factorization.

726040410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 726040410000 its reverse (14040627), we get a palindrome (726054450627).

The spelling of 726040410000 in words is "seven hundred twenty-six billion, forty million, four hundred ten thousand".