10543261440 has 144 divisors (see below), whose sum is σ = 34147685376. Its totient is φ = 2771865600.

The previous prime is 10543261423. The next prime is 10543261451. The reversal of 10543261440 is 4416234501.

It is a super-2 number, since 2×10543261440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10543261398 and 10543261407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253305 + ... + 291975.

It is an arithmetic number, because the mean of its divisors is an integer number (237136704).

Almost surely, 2^10543261440 is an apocalyptic number.

10543261440 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 10543261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073842688).

10543261440 is an abundant number, since it is smaller than the sum of its proper divisors (23604423936).

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

10543261440 is an equidigital number, since it uses as much as digits as its factorization.

10543261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38766 (or 38752 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10543261440 its reverse (4416234501), we get a palindrome (14959495941).

The spelling of 10543261440 in words is "ten billion, five hundred forty-three million, two hundred sixty-one thousand, four hundred forty".