7314531840 has 1440 divisors, whose sum is σ = 34930621440. Its totient is φ = 1393459200.

The previous prime is 7314531817. The next prime is 7314531893. The reversal of 7314531840 is 481354137.

It is a happy number.

7314531840 is a `hidden beast` number, since 73 + 14 + 531 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7314531795 and 7314531804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235952625 + ... + 235952655.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 2^7314531840 is an apocalyptic number.

7314531840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7314531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465310720).

7314531840 is an abundant number, since it is smaller than the sum of its proper divisors (27616089600).

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

7314531840 is a wasteful number, since it uses less digits than its factorization.

7314531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7314531840 is about 85525.0363343974. The cubic root of 7314531840 is about 1941.1637754606.

Adding to 7314531840 its reverse (481354137), we get a palindrome (7795885977).

The spelling of 7314531840 in words is "seven billion, three hundred fourteen million, five hundred thirty-one thousand, eight hundred forty".