1141001511440 has 40 divisors (see below), whose sum is σ = 3031804017600. Its totient is φ = 391200518016.

The previous prime is 1141001511421. The next prime is 1141001511449. The reversal of 1141001511440 is 441151001411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1141001511449) 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, 1018750790 + ... + 1018751909.

It is an arithmetic number, because the mean of its divisors is an integer number (75795100440).

Almost surely, 2^{1141001511440} is an apocalyptic number.

1141001511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141001511440 is an abundant number, since it is smaller than the sum of its proper divisors (1890802506160).

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

1141001511440 is a wasteful number, since it uses less digits than its factorization.

1141001511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037502719 (or 2037502713 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 1141001511440 its reverse (441151001411), we get a palindrome (1582152512851).

The spelling of 1141001511440 in words is "one trillion, one hundred forty-one billion, one million, five hundred eleven thousand, four hundred forty".