7151270400 has 360 divisors, whose sum is σ = 26715031200. Its totient is φ = 1823416320.

The previous prime is 7151270387. The next prime is 7151270431. The reversal of 7151270400 is 40721517.

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

It is a super-2 number, since 2×7151270400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2648251 + ... + 2650949.

It is an arithmetic number, because the mean of its divisors is an integer number (74208420).

Almost surely, 2^7151270400 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 7151270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357515600).

7151270400 is an abundant number, since it is smaller than the sum of its proper divisors (19563760800).

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

7151270400 is a wasteful number, since it uses less digits than its factorization.

7151270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 7151270400 is about 84565.1843254658. The cubic root of 7151270400 is about 1926.6126162019.

Adding to 7151270400 its reverse (40721517), we get a palindrome (7191991917).

The spelling of 7151270400 in words is "seven billion, one hundred fifty-one million, two hundred seventy thousand, four hundred".