40001001001 has 16 divisors (see below), whose sum is σ = 44546019840. Its totient is φ = 35669900160.

The previous prime is 40001000983. The next prime is 40001001023. The reversal of 40001001001 is 10010010004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40001001001 - 2¹⁵ = 40000968233 is a prime.

It is a Duffinian number.

40001001001 is a modest number, since divided by 1001001 gives 40 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40001001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142086 + ... + 316528.

It is an arithmetic number, because the mean of its divisors is an integer number (2784126240).

Almost surely, 2^40001001001 is an apocalyptic number.

It is an amenable number.

40001001001 is a deficient number, since it is larger than the sum of its proper divisors (4545018839).

40001001001 is a wasteful number, since it uses less digits than its factorization.

40001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175056.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 40001001001 its reverse (10010010004), we get a palindrome (50011011005).

It can be divided in two parts, 4000 and 1001001, that added together give a palindrome (1005001).

The spelling of 40001001001 in words is "forty billion, one million, one thousand, one".