7314261120 has 448 divisors, whose sum is σ = 26749950840. Its totient is φ = 1911029760.

The previous prime is 7314261091. The next prime is 7314261137. The reversal of 7314261120 is 211624137.

7314261120 is a `hidden beast` number, since 7 + 3 + 1 + 42 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6013071936 + 1301189184 = 77544^2 + 36072^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28460032 + ... + 28460288.

Almost surely, 2^7314261120 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 7314261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374975420).

7314261120 is an abundant number, since it is smaller than the sum of its proper divisors (19435689720).

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

7314261120 is an equidigital number, since it uses as much as digits as its factorization.

7314261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7314261120 is about 85523.4536253068. The cubic root of 7314261120 is about 1941.1398268630.

Adding to 7314261120 its reverse (211624137), we get a palindrome (7525885257).

The spelling of 7314261120 in words is "seven billion, three hundred fourteen million, two hundred sixty-one thousand, one hundred twenty".