10540443333140 has 288 divisors, whose sum is σ = 27113098844160. Its totient is φ = 3370993920000.

The previous prime is 10540443333083. The next prime is 10540443333163. The reversal of 10540443333140 is 4133334404501.

It is a super-2 number, since 2×10540443333140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10540443333140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142799601 + ... + 2142804519.

It is an arithmetic number, because the mean of its divisors is an integer number (94142704320).

Almost surely, 2^{10540443333140} is an apocalyptic number.

10540443333140 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 10540443333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556549422080).

10540443333140 is an abundant number, since it is smaller than the sum of its proper divisors (16572655511020).

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

10540443333140 is a wasteful number, since it uses less digits than its factorization.

10540443333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 10540443333140 its reverse (4133334404501), we get a palindrome (14673777737641).

The spelling of 10540443333140 in words is "ten trillion, five hundred forty billion, four hundred forty-three million, three hundred thirty-three thousand, one hundred forty".