1001114024040 has 192 divisors, whose sum is σ = 3538592825040. Its totient is φ = 243988070400.

The previous prime is 1001114024021. The next prime is 1001114024041. The reversal of 1001114024040 is 404204111001.

It can be written as a sum of positive squares in 8 ways, for example, as 272252281284 + 728861742756 = 521778^2 + 853734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001114024041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 586297 + ... + 1531656.

Almost surely, 2^{1001114024040} is an apocalyptic number.

1001114024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001114024040 is an abundant number, since it is smaller than the sum of its proper divisors (2537478801000).

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

1001114024040 is a wasteful number, since it uses less digits than its factorization.

1001114024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118084 (or 2118077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1001114024040 its reverse (404204111001), we get a palindrome (1405318135041).

The spelling of 1001114024040 in words is "one trillion, one billion, one hundred fourteen million, twenty-four thousand, forty".