10011141330440 has 32 divisors (see below), whose sum is σ = 22526100432000. Its totient is φ = 4004272987584.

The previous prime is 10011141330439. The next prime is 10011141330479. The reversal of 10011141330440 is 4403314111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4850480 + ... + 6599199.

It is an arithmetic number, because the mean of its divisors is an integer number (703940638500).

Almost surely, 2^{10011141330440} is an apocalyptic number.

10011141330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011141330440 is an abundant number, since it is smaller than the sum of its proper divisors (12514959101560).

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

10011141330440 is a wasteful number, since it uses less digits than its factorization.

10011141330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471549 (or 11471545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10011141330440 its reverse (4403314111001), we get a palindrome (14414455441441).

The spelling of 10011141330440 in words is "ten trillion, eleven billion, one hundred forty-one million, three hundred thirty thousand, four hundred forty".