340242411401312 has 96 divisors (see below), whose sum is σ = 784596341148480. Its totient is φ = 142192868843520.

The previous prime is 340242411401293. The next prime is 340242411401327. The reversal of 340242411401312 is 213104114242043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10048748 + ... + 27954644.

It is an arithmetic number, because the mean of its divisors is an integer number (8172878553630).

Almost surely, 2^{340242411401312} is an apocalyptic number.

340242411401312 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 340242411401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392298170574240).

340242411401312 is an abundant number, since it is smaller than the sum of its proper divisors (444353929747168).

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

340242411401312 is a wasteful number, since it uses less digits than its factorization.

340242411401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17908024 (or 17908016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 340242411401312 its reverse (213104114242043), we get a palindrome (553346525643355).

The spelling of 340242411401312 in words is "three hundred forty trillion, two hundred forty-two billion, four hundred eleven million, four hundred one thousand, three hundred twelve".