1040142104001 has 192 divisors, whose sum is σ = 2074616893440. Its totient is φ = 484761438720.

The previous prime is 1040142103967. The next prime is 1040142104011. The reversal of 1040142104001 is 1004012410401.

1040142104001 is a `hidden beast` number, since 1 + 0 + 40 + 14 + 210 + 400 + 1 = 666.

It is not a de Polignac number, because 1040142104001 - 2⁶ = 1040142103937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040142104011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51079860 + ... + 51100218.

It is an arithmetic number, because the mean of its divisors is an integer number (10805296320).

Almost surely, 2^{1040142104001} is an apocalyptic number.

1040142104001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1040142104001 is a deficient number, since it is larger than the sum of its proper divisors (1034474789439).

1040142104001 is a wasteful number, since it uses less digits than its factorization.

1040142104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20553 counting only the distinct ones).

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

Adding to 1040142104001 its reverse (1004012410401), we get a palindrome (2044154514402).

The spelling of 1040142104001 in words is "one trillion, forty billion, one hundred forty-two million, one hundred four thousand, one".