340585744128 has 216 divisors, whose sum is σ = 1062049645440. Its totient is φ = 96608655360.

The previous prime is 340585744123. The next prime is 340585744133. The reversal of 340585744128 is 821447585043.

It is an interprime number because it is at equal distance from previous prime (340585744123) and next prime (340585744133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340585744123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5198293 + ... + 5263403.

Almost surely, 2^340585744128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340585744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531024822720).

340585744128 is an abundant number, since it is smaller than the sum of its proper divisors (721463901312).

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

340585744128 is a wasteful number, since it uses less digits than its factorization.

340585744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65283 (or 65262 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 340585744128 in words is "three hundred forty billion, five hundred eighty-five million, seven hundred forty-four thousand, one hundred twenty-eight".