340649109504 has 576 divisors, whose sum is σ = 1186120091520. Its totient is φ = 92909076480.

The previous prime is 340649109407. The next prime is 340649109511. The reversal of 340649109504 is 405901946043.

340649109504 is a `hidden beast` number, since 34 + 0 + 6 + 4 + 9 + 109 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 340649109504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79273884 + ... + 79278180.

It is an arithmetic number, because the mean of its divisors is an integer number (2059236270).

Almost surely, 2^340649109504 is an apocalyptic number.

340649109504 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 340649109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593060045760).

340649109504 is an abundant number, since it is smaller than the sum of its proper divisors (845470982016).

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

340649109504 is a wasteful number, since it uses less digits than its factorization.

340649109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 340649109504 in words is "three hundred forty billion, six hundred forty-nine million, one hundred nine thousand, five hundred four".