340010241141312 has 504 divisors, whose sum is σ = 1155355156343232. Its totient is φ = 95290401024000.

The previous prime is 340010241141293. The next prime is 340010241141371. The reversal of 340010241141312 is 213141142010043.

It is a happy number.

340010241141312 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 0 + 241 + 1 + 413 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6957276237 + ... + 6957325107.

Almost surely, 2^{340010241141312} is an apocalyptic number.

340010241141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340010241141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577677578171616).

340010241141312 is an abundant number, since it is smaller than the sum of its proper divisors (815344915201920).

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

340010241141312 is a wasteful number, since it uses less digits than its factorization.

340010241141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53607 (or 53587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 340010241141312 its reverse (213141142010043), we get a palindrome (553151383151355).

The spelling of 340010241141312 in words is "three hundred forty trillion, ten billion, two hundred forty-one million, one hundred forty-one thousand, three hundred twelve".