10349340192000 has 720 divisors, whose sum is σ = 38567110982400. Its totient is φ = 2755955404800.

The previous prime is 10349340191999. The next prime is 10349340192029. The reversal of 10349340192000 is 29104394301.

10349340192000 is a `hidden beast` number, since 1 + 0 + 3 + 49 + 3 + 401 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2174685621 + ... + 2174690379.

It is an arithmetic number, because the mean of its divisors is an integer number (53565431920).

Almost surely, 2^{10349340192000} is an apocalyptic number.

10349340192000 is a gapful number since it is divisible by the number (10) 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 10349340192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283555491200).

10349340192000 is an abundant number, since it is smaller than the sum of its proper divisors (28217770790400).

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

10349340192000 is an frugal number, since it uses more digits than its factorization.

10349340192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10349340192000 in words is "ten trillion, three hundred forty-nine billion, three hundred forty million, one hundred ninety-two thousand".