10653410040 has 256 divisors, whose sum is σ = 39925509120. Its totient is φ = 2214051840.

The previous prime is 10653410023. The next prime is 10653410041. The reversal of 10653410040 is 4001435601.

It is a super-2 number, since 2×10653410040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653410041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724360 + ... + 738920.

It is an arithmetic number, because the mean of its divisors is an integer number (155959020).

Almost surely, 2^10653410040 is an apocalyptic number.

10653410040 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 10653410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19962754560).

10653410040 is an abundant number, since it is smaller than the sum of its proper divisors (29272099080).

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

10653410040 is a wasteful number, since it uses less digits than its factorization.

10653410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10653410040 its reverse (4001435601), we get a palindrome (14654845641).

The spelling of 10653410040 in words is "ten billion, six hundred fifty-three million, four hundred ten thousand, forty".