338065584040 has 32 divisors (see below), whose sum is σ = 760664135880. Its totient is φ = 135223287552.

The previous prime is 338065584011. The next prime is 338065584047. The reversal of 338065584040 is 40485560833.

It can be written as a sum of positive squares in 4 ways, for example, as 200666369764 + 137399214276 = 447958^2 + 370674^2 .

It is a super-2 number, since 2×338065584040² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338065584047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3436822 + ... + 3533818.

Almost surely, 2^338065584040 is an apocalyptic number.

It is an amenable number.

338065584040 is an abundant number, since it is smaller than the sum of its proper divisors (422598551840).

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

338065584040 is a wasteful number, since it uses less digits than its factorization.

338065584040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184141 (or 184137 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 338065584040 in words is "three hundred thirty-eight billion, sixty-five million, five hundred eighty-four thousand, forty".