40142733263073 has 96 divisors (see below), whose sum is σ = 70406011233792. Its totient is φ = 21515380070400.

The previous prime is 40142733263063. The next prime is 40142733263089. The reversal of 40142733263073 is 37036233724104.

40142733263073 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 7 + 3 + 3 + 2 + 630 + 7 + 3 = 666.

It is not a de Polignac number, because 40142733263073 - 2²⁸ = 40142464827617 is a prime.

It is a super-2 number, since 2×40142733263073² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40142733263063) 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 95 ways as a sum of consecutive naturals, for example, 2072087215 + ... + 2072106587.

It is an arithmetic number, because the mean of its divisors is an integer number (733395950352).

Almost surely, 2^{40142733263073} is an apocalyptic number.

It is an amenable number.

40142733263073 is a deficient number, since it is larger than the sum of its proper divisors (30263277970719).

40142733263073 is a wasteful number, since it uses less digits than its factorization.

40142733263073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935 (or 25932 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

Adding to 40142733263073 its reverse (37036233724104), we get a palindrome (77178966987177).

The spelling of 40142733263073 in words is "forty trillion, one hundred forty-two billion, seven hundred thirty-three million, two hundred sixty-three thousand, seventy-three".