340409075160 has 512 divisors, whose sum is σ = 1330620825600. Its totient is φ = 67615672320.

The previous prime is 340409075107. The next prime is 340409075177. The reversal of 340409075160 is 61570904043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18664926 + ... + 18683154.

It is an arithmetic number, because the mean of its divisors is an integer number (2598868800).

Almost surely, 2^340409075160 is an apocalyptic number.

340409075160 is a gapful number since it is divisible by the number (30) 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 340409075160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665310412800).

340409075160 is an abundant number, since it is smaller than the sum of its proper divisors (990211750440).

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

340409075160 is a wasteful number, since it uses less digits than its factorization.

340409075160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18351 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 340409075160 in words is "three hundred forty billion, four hundred nine million, seventy-five thousand, one hundred sixty".