1000400040001 has 8 divisors (see below), whose sum is σ = 1021506380424. Its totient is φ = 979493760000.

The previous prime is 1000400039983. The next prime is 1000400040011.

1000400040001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 1000200²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 567876787776 + 432523252225 = 753576^2 + 657665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000400040001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000400040001.

It is not an unprimeable number, because it can be changed into a prime (1000400040011) 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 7 ways as a sum of consecutive naturals, for example, 50005000 + ... + 50025001.

It is an arithmetic number, because the mean of its divisors is an integer number (127688297553).

Almost surely, 2^{1000400040001} is an apocalyptic number.

It is an amenable number.

1000400040001 is a deficient number, since it is larger than the sum of its proper divisors (21106340423).

1000400040001 is a wasteful number, since it uses less digits than its factorization.

1000400040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100030211.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 10004000 and 40001, that added together give a palindrome (10044001).

The spelling of 1000400040001 in words is "one trillion, four hundred million, forty thousand, one".