10334240414304 has 48 divisors (see below), whose sum is σ = 27134081881200. Its totient is φ = 3443895910400.

The previous prime is 10334240414299. The next prime is 10334240414327. The reversal of 10334240414304 is 40341404243301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12904497 + ... + 13681904.

It is an arithmetic number, because the mean of its divisors is an integer number (565293372525).

Almost surely, 2^{10334240414304} is an apocalyptic number.

It is an amenable number.

10334240414304 is an abundant number, since it is smaller than the sum of its proper divisors (16799841466896).

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

10334240414304 is a wasteful number, since it uses less digits than its factorization.

10334240414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26590463 (or 26590455 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10334240414304 its reverse (40341404243301), we get a palindrome (50675644657605).

The spelling of 10334240414304 in words is "ten trillion, three hundred thirty-four billion, two hundred forty million, four hundred fourteen thousand, three hundred four".