40040000400040 has 16 divisors (see below), whose sum is σ = 90090000900180. Its totient is φ = 16016000160000.

The previous prime is 40040000400019. The next prime is 40040000400083. The reversal of 40040000400040 is 4000400004004.

It can be written as a sum of positive squares in 2 ways, for example, as 36944490927204 + 3095509472836 = 6078198^2 + 1759406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40040000399987 and 40040000400023.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500500004961 + ... + 500500005040.

Almost surely, 2^{40040000400040} is an apocalyptic number.

40040000400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040000400040 is an abundant number, since it is smaller than the sum of its proper divisors (50050000500140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40040000400040 is a wasteful number, since it uses less digits than its factorization.

40040000400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001000010012 (or 1001000010008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40040000400040 its reverse (4000400004004), we get a palindrome (44040400404044).

The spelling of 40040000400040 in words is "forty trillion, forty billion, four hundred thousand, forty".