4065338744640 has 168 divisors, whose sum is σ = 13983830457480. Its totient is φ = 1084031483904.

The previous prime is 4065338744617. The next prime is 4065338744669. The reversal of 4065338744640 is 464478335604.

4065338744640 is a `hidden beast` number, since 4 + 0 + 6 + 533 + 8 + 7 + 44 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1837889953344 + 2227448791296 = 1355688^2 + 1492464^2 .

It is a super-2 number, since 2×4065338744640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88707012 + ... + 88752828.

Almost surely, 2^{4065338744640} is an apocalyptic number.

4065338744640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4065338744640 is an abundant number, since it is smaller than the sum of its proper divisors (9918491712840).

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

4065338744640 is a wasteful number, since it uses less digits than its factorization.

4065338744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76649 (or 76636 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 4065338744640 in words is "four trillion, sixty-five billion, three hundred thirty-eight million, seven hundred forty-four thousand, six hundred forty".