340552447024464 has 480 divisors, whose sum is σ = 1029752881597440. Its totient is φ = 104670388850688.

The previous prime is 340552447024423. The next prime is 340552447024469. The reversal of 340552447024464 is 464420744255043.

340552447024464 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 52 + 44 + 70 + 24 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 340552447024464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340552447024469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54514555389 + ... + 54514561635.

It is an arithmetic number, because the mean of its divisors is an integer number (2145318503328).

Almost surely, 2^{340552447024464} is an apocalyptic number.

340552447024464 is a gapful number since it is divisible by the number (34) 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 340552447024464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514876440798720).

340552447024464 is an abundant number, since it is smaller than the sum of its proper divisors (689200434572976).

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

340552447024464 is a wasteful number, since it uses less digits than its factorization.

340552447024464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 340552447024464 in words is "three hundred forty trillion, five hundred fifty-two billion, four hundred forty-seven million, twenty-four thousand, four hundred sixty-four".