10353353450440 has 384 divisors, whose sum is σ = 31890527625600. Its totient is φ = 2973665157120.

The previous prime is 10353353450437. The next prime is 10353353450441. The reversal of 10353353450440 is 4405435335301.

10353353450440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10353353450393 and 10353353450402.

It is not an unprimeable number, because it can be changed into a prime (10353353450441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164492896 + ... + 164555824.

It is an arithmetic number, because the mean of its divisors is an integer number (83048249025).

Almost surely, 2^{10353353450440} is an apocalyptic number.

10353353450440 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 10353353450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945263812800).

10353353450440 is an abundant number, since it is smaller than the sum of its proper divisors (21537174175160).

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

10353353450440 is a wasteful number, since it uses less digits than its factorization.

10353353450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63565 (or 63554 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 10353353450440 its reverse (4405435335301), we get a palindrome (14758788785741).

The spelling of 10353353450440 in words is "ten trillion, three hundred fifty-three billion, three hundred fifty-three million, four hundred fifty thousand, four hundred forty".