40111132001 has 16 divisors (see below), whose sum is σ = 43185963600. Its totient is φ = 37116334080.

The previous prime is 40111131959. The next prime is 40111132043. The reversal of 40111132001 is 10023111104.

It is an interprime number because it is at equal distance from previous prime (40111131959) and next prime (40111132043).

It can be written as a sum of positive squares in 8 ways, for example, as 828288400 + 39282843601 = 28780^2 + 198199^2 .

It is a cyclic number.

It is not a de Polignac number, because 40111132001 - 2²⁶ = 40044023137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40111132081) 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 15 ways as a sum of consecutive naturals, for example, 2768825 + ... + 2783273.

It is an arithmetic number, because the mean of its divisors is an integer number (2699122725).

Almost surely, 2^40111132001 is an apocalyptic number.

It is an amenable number.

40111132001 is a deficient number, since it is larger than the sum of its proper divisors (3074831599).

40111132001 is a wasteful number, since it uses less digits than its factorization.

40111132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17204.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 40111132001 its reverse (10023111104), we get a palindrome (50134243105).

The spelling of 40111132001 in words is "forty billion, one hundred eleven million, one hundred thirty-two thousand, one".