340319448480 has 768 divisors, whose sum is σ = 1301490892800. Its totient is φ = 73775370240.

The previous prime is 340319448449. The next prime is 340319448569. The reversal of 340319448480 is 84844913043.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 182280507 + ... + 182282373.

It is an arithmetic number, because the mean of its divisors is an integer number (1694649600).

Almost surely, 2^340319448480 is an apocalyptic number.

340319448480 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 340319448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650745446400).

340319448480 is an abundant number, since it is smaller than the sum of its proper divisors (961171444320).

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

340319448480 is a wasteful number, since it uses less digits than its factorization.

340319448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 340319448480 in words is "three hundred forty billion, three hundred nineteen million, four hundred forty-eight thousand, four hundred eighty".