9000040400009 has 8 divisors (see below), whose sum is σ = 9544321096488. Its totient is φ = 8457411543040.

The previous prime is 9000040399943. The next prime is 9000040400011.

9000040400009 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1937218585600 + 7062821814409 = 1391840^2 + 2657597^2 .

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-9000040400009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000040490009) 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, 412948652 + ... + 412970445.

It is an arithmetic number, because the mean of its divisors is an integer number (1193040137061).

Almost surely, 2^{9000040400009} is an apocalyptic number.

It is an amenable number.

9000040400009 is a deficient number, since it is larger than the sum of its proper divisors (544280696479).

9000040400009 is a wasteful number, since it uses less digits than its factorization.

9000040400009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825919755.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 9000040 and 400009, that added together give a palindrome (9400049).

The spelling of 9000040400009 in words is "nine trillion, forty million, four hundred thousand, nine".