10414213344 has 72 divisors (see below), whose sum is σ = 30304185912. Its totient is φ = 3390670080.

The previous prime is 10414213289. The next prime is 10414213351. The reversal of 10414213344 is 44331241401.

10414213344 is a `hidden beast` number, since 1 + 0 + 414 + 213 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408087 + ... + 432854.

It is an arithmetic number, because the mean of its divisors is an integer number (420891471).

Almost surely, 2^10414213344 is an apocalyptic number.

It is an amenable number.

10414213344 is an abundant number, since it is smaller than the sum of its proper divisors (19889972568).

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

10414213344 is a wasteful number, since it uses less digits than its factorization.

10414213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841000 (or 840989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10414213344 its reverse (44331241401), we get a palindrome (54745454745).

The spelling of 10414213344 in words is "ten billion, four hundred fourteen million, two hundred thirteen thousand, three hundred forty-four".