334202121313040 has 40 divisors (see below), whose sum is σ = 803813722818840. Its totient is φ = 129071164092416.

The previous prime is 334202121313019. The next prime is 334202121313051. The reversal of 334202121313040 is 40313121202433.

It can be written as a sum of positive squares in 4 ways, for example, as 16330877157904 + 317871244155136 = 4041148^2 + 17828944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×334202121313040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 334202121312994 and 334202121313012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72026316929 + ... + 72026321568.

It is an arithmetic number, because the mean of its divisors is an integer number (20095343070471).

Almost surely, 2^{334202121313040} is an apocalyptic number.

It is an amenable number.

334202121313040 is an abundant number, since it is smaller than the sum of its proper divisors (469611601505800).

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

334202121313040 is a wasteful number, since it uses less digits than its factorization.

334202121313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144052638539 (or 144052638533 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 334202121313040 its reverse (40313121202433), we get a palindrome (374515242515473).

The spelling of 334202121313040 in words is "three hundred thirty-four trillion, two hundred two billion, one hundred twenty-one million, three hundred thirteen thousand, forty".