7201440000 has 360 divisors, whose sum is σ = 26627351520. Its totient is φ = 1919232000.

The previous prime is 7201439951. The next prime is 7201440017. The reversal of 7201440000 is 441027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319167 + ... + 4320833.

Almost surely, 2^7201440000 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 7201440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313675760).

7201440000 is an abundant number, since it is smaller than the sum of its proper divisors (19425911520).

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

7201440000 is an equidigital number, since it uses as much as digits as its factorization.

7201440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7201440000 is about 84861.2985995383. The cubic root of 7201440000 is about 1931.1074925480.

Adding to 7201440000 its reverse (441027), we get a palindrome (7201881027).

The spelling of 7201440000 in words is "seven billion, two hundred one million, four hundred forty thousand".