7145412840 has 128 divisors (see below), whose sum is σ = 25071696000. Its totient is φ = 1805151744.

The previous prime is 7145412763. The next prime is 7145412853. The reversal of 7145412840 is 482145417.

It is a happy number.

7145412840 is a `hidden beast` number, since 71 + 4 + 541 + 2 + 8 + 40 = 666.

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 = 7145412795 and 7145412804.

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 31 ways as a sum of consecutive naturals, for example, 153589 + ... + 194628.

It is an arithmetic number, because the mean of its divisors is an integer number (195872625).

Almost surely, 2^7145412840 is an apocalyptic number.

It is an amenable number.

7145412840 is an abundant number, since it is smaller than the sum of its proper divisors (17926283160).

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

7145412840 is a wasteful number, since it uses less digits than its factorization.

7145412840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348256 (or 348246 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7145412840 is about 84530.5438288433. The cubic root of 7145412840 is about 1926.0864471442.

The spelling of 7145412840 in words is "seven billion, one hundred forty-five million, four hundred twelve thousand, eight hundred forty".