10354944959424 has 336 divisors, whose sum is σ = 32716316697792. Its totient is φ = 3111964655616.

The previous prime is 10354944959407. The next prime is 10354944959431. The reversal of 10354944959424 is 42495944945301.

10354944959424 is a `hidden beast` number, since 1 + 0 + 3 + 54 + 9 + 4 + 495 + 94 + 2 + 4 = 666.

It is a super-3 number, since 3×10354944959424³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56210314 + ... + 56394230.

It is an arithmetic number, because the mean of its divisors is an integer number (97369990172).

Almost surely, 2^{10354944959424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354944959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358158348896).

10354944959424 is an abundant number, since it is smaller than the sum of its proper divisors (22361371738368).

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

10354944959424 is a wasteful number, since it uses less digits than its factorization.

10354944959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184124 (or 184111 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 10354944959424 in words is "ten trillion, three hundred fifty-four billion, nine hundred forty-four million, nine hundred fifty-nine thousand, four hundred twenty-four".