3965360518440 has 48 divisors (see below), whose sum is σ = 12887421686100. Its totient is φ = 1057429471488.

The previous prime is 3965360518433. The next prime is 3965360518453. The reversal of 3965360518440 is 448150635693.

3965360518440 is a `hidden beast` number, since 3 + 9 + 65 + 3 + 60 + 518 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3959534860164 + 5825658276 = 1989858^2 + 76326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5507444805 + ... + 5507445524.

Almost surely, 2^{3965360518440} is an apocalyptic number.

3965360518440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3965360518440 is an abundant number, since it is smaller than the sum of its proper divisors (8922061167660).

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

3965360518440 is a wasteful number, since it uses less digits than its factorization.

3965360518440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014890346 (or 11014890339 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3965360518440 in words is "three trillion, nine hundred sixty-five billion, three hundred sixty million, five hundred eighteen thousand, four hundred forty".