7141200000 has 384 divisors, whose sum is σ = 25912716480. Its totient is φ = 1728000000.

The previous prime is 7141199999. The next prime is 7141200007. The reversal of 7141200000 is 21417.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (7141200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199730 + ... + 13200270.

Almost surely, 2^7141200000 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 7141200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956358240).

7141200000 is an abundant number, since it is smaller than the sum of its proper divisors (18771516480).

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

7141200000 is an equidigital number, since it uses as much as digits as its factorization.

7141200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 7141200000 is about 84505.6211148111. The cubic root of 7141200000 is about 1925.7078411105.

Adding to 7141200000 its reverse (21417), we get a palindrome (7141221417).

The spelling of 7141200000 in words is "seven billion, one hundred forty-one million, two hundred thousand".