7414641440 has 24 divisors (see below), whose sum is σ = 17517090780. Its totient is φ = 2965856512.

The previous prime is 7414641413. The next prime is 7414641457. The reversal of 7414641440 is 441464147.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7411832464 + 2808976 = 86092^2 + 1676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7414641440.

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 3 ways as a sum of consecutive naturals, for example, 23170595 + ... + 23170914.

Almost surely, 2^7414641440 is an apocalyptic number.

It is an amenable number.

7414641440 is an abundant number, since it is smaller than the sum of its proper divisors (10102449340).

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

7414641440 is a wasteful number, since it uses less digits than its factorization.

7414641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46341524 (or 46341516 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 7414641440 is about 86108.3122584574. The cubic root of 7414641440 is about 1949.9795255356.

The spelling of 7414641440 in words is "seven billion, four hundred fourteen million, six hundred forty-one thousand, four hundred forty".