10653405434040 has 256 divisors, whose sum is σ = 33751598400000. Its totient is φ = 2682655193088.

The previous prime is 10653405434033. The next prime is 10653405434071. The reversal of 10653405434040 is 4043450435601.

It is a super-3 number, since 3×10653405434040³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10653405434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1728603999 + ... + 1728610161.

It is an arithmetic number, because the mean of its divisors is an integer number (131842181250).

Almost surely, 2^{10653405434040} is an apocalyptic number.

10653405434040 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 10653405434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875799200000).

10653405434040 is an abundant number, since it is smaller than the sum of its proper divisors (23098192965960).

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

10653405434040 is a wasteful number, since it uses less digits than its factorization.

10653405434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 10653405434040 its reverse (4043450435601), we get a palindrome (14696855869641).

The spelling of 10653405434040 in words is "ten trillion, six hundred fifty-three billion, four hundred five million, four hundred thirty-four thousand, forty".