340305031131648 has 2560 divisors, whose sum is σ = 1183742475632640. Its totient is φ = 85465497600000.

The previous prime is 340305031131581. The next prime is 340305031131661. The reversal of 340305031131648 is 846131130503043.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 492481954983 + ... + 492481955673.

It is an arithmetic number, because the mean of its divisors is an integer number (462399404544).

Almost surely, 2^{340305031131648} is an apocalyptic number.

340305031131648 is a gapful number since it is divisible by the number (38) 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 340305031131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591871237816320).

340305031131648 is an abundant number, since it is smaller than the sum of its proper divisors (843437444500992).

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

340305031131648 is a wasteful number, since it uses less digits than its factorization.

340305031131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 340305031131648 in words is "three hundred forty trillion, three hundred five billion, thirty-one million, one hundred thirty-one thousand, six hundred forty-eight".