10440010334304 has 36 divisors (see below), whose sum is σ = 29688779388996. Its totient is φ = 3480003444672.

The previous prime is 10440010334293. The next prime is 10440010334317. The reversal of 10440010334304 is 40343301004401.

10440010334304 is a `hidden beast` number, since 10 + 4 + 4 + 0 + 0 + 10 + 334 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18125017654 + ... + 18125018229.

It is an arithmetic number, because the mean of its divisors is an integer number (824688316361).

Almost surely, 2^{10440010334304} is an apocalyptic number.

It is an amenable number.

10440010334304 is an abundant number, since it is smaller than the sum of its proper divisors (19248769054692).

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

10440010334304 is a wasteful number, since it uses less digits than its factorization.

10440010334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36250035899 (or 36250035888 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10440010334304 its reverse (40343301004401), we get a palindrome (50783311338705).

The spelling of 10440010334304 in words is "ten trillion, four hundred forty billion, ten million, three hundred thirty-four thousand, three hundred four".