10354413024 has 36 divisors (see below), whose sum is σ = 29445362856. Its totient is φ = 3451470912.

The previous prime is 10354413011. The next prime is 10354413031. The reversal of 10354413024 is 42031445301.

It is a happy number.

10354413024 is a `hidden beast` number, since 1 + 0 + 354 + 4 + 1 + 302 + 4 = 666.

10354413024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×10354413024³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17976124 + ... + 17976699.

It is an arithmetic number, because the mean of its divisors is an integer number (817926746).

Almost surely, 2^10354413024 is an apocalyptic number.

It is an amenable number.

10354413024 is an abundant number, since it is smaller than the sum of its proper divisors (19090949832).

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

10354413024 is a wasteful number, since it uses less digits than its factorization.

10354413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952839 (or 35952828 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10354413024 its reverse (42031445301), we get a palindrome (52385858325).

The spelling of 10354413024 in words is "ten billion, three hundred fifty-four million, four hundred thirteen thousand, twenty-four".