10540001111440 has 40 divisors (see below), whose sum is σ = 25103197776888. Its totient is φ = 4113171164160.

The previous prime is 10540001111363. The next prime is 10540001111449. The reversal of 10540001111440 is 4411110004501.

It can be written as a sum of positive squares in 4 ways, for example, as 190860639376 + 10349140472064 = 436876^2 + 3217008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10540001111440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540001111449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606704207 + ... + 1606710766.

Almost surely, 2^{10540001111440} is an apocalyptic number.

10540001111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540001111440 is an abundant number, since it is smaller than the sum of its proper divisors (14563196665448).

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

10540001111440 is a wasteful number, since it uses less digits than its factorization.

10540001111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213415027 (or 3213415021 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 10540001111440 its reverse (4411110004501), we get a palindrome (14951111115941).

The spelling of 10540001111440 in words is "ten trillion, five hundred forty billion, one million, one hundred eleven thousand, four hundred forty".