2001141134540 has 48 divisors (see below), whose sum is σ = 4248784441440. Its totient is φ = 791651374080.

The previous prime is 2001141134527. The next prime is 2001141134567. The reversal of 2001141134540 is 454311411002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81491 + ... + 2002229.

It is an arithmetic number, because the mean of its divisors is an integer number (88516342530).

Almost surely, 2^{2001141134540} is an apocalyptic number.

2001141134540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001141134540 is an abundant number, since it is smaller than the sum of its proper divisors (2247643306900).

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

2001141134540 is a wasteful number, since it uses less digits than its factorization.

2001141134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921322 (or 1921320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 2001141134540 its reverse (454311411002), we get a palindrome (2455452545542).

The spelling of 2001141134540 in words is "two trillion, one billion, one hundred forty-one million, one hundred thirty-four thousand, five hundred forty".