10354024240 has 160 divisors (see below), whose sum is σ = 27969209856. Its totient is φ = 3491389440.

The previous prime is 10354024231. The next prime is 10354024271. The reversal of 10354024240 is 4242045301.

It is a happy number.

10354024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10354024240³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 15384544 + ... + 15385216.

Almost surely, 2^10354024240 is an apocalyptic number.

10354024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984604928).

10354024240 is an abundant number, since it is smaller than the sum of its proper divisors (17615185616).

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

10354024240 is a wasteful number, since it uses less digits than its factorization.

10354024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10354024240 its reverse (4242045301), we get a palindrome (14596069541).

The spelling of 10354024240 in words is "ten billion, three hundred fifty-four million, twenty-four thousand, two hundred forty".