10334039743104 has 128 divisors (see below), whose sum is σ = 34223118727680. Its totient is φ = 2684166159360.

The previous prime is 10334039743103. The next prime is 10334039743201. The reversal of 10334039743104 is 40134793043301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10334039743103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174720834 + ... + 174779969.

It is an arithmetic number, because the mean of its divisors is an integer number (267368115060).

Almost surely, 2^{10334039743104} is an apocalyptic number.

10334039743104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10334039743104 is an abundant number, since it is smaller than the sum of its proper divisors (23889078984576).

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

10334039743104 is a wasteful number, since it uses less digits than its factorization.

10334039743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349500838 (or 349500826 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 10334039743104 in words is "ten trillion, three hundred thirty-four billion, thirty-nine million, seven hundred forty-three thousand, one hundred four".