726254400000 has 240 divisors, whose sum is σ = 2418345091008. Its totient is φ = 193666560000.

The previous prime is 726254399977. The next prime is 726254400007. The reversal of 726254400000 is 4452627.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (726254400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4724349 + ... + 4875651.

Almost surely, 2^726254400000 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 726254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209172545504).

726254400000 is an abundant number, since it is smaller than the sum of its proper divisors (1692090691008).

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

726254400000 is an frugal number, since it uses more digits than its factorization.

726254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151349 (or 151313 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 726254400000 its reverse (4452627), we get a palindrome (726258852627).

The spelling of 726254400000 in words is "seven hundred twenty-six billion, two hundred fifty-four million, four hundred thousand".