40400400040040 has 64 divisors (see below), whose sum is σ = 94134089509200. Its totient is φ = 15586540275712.

The previous prime is 40400400040037. The next prime is 40400400040067. The reversal of 40400400040040 is 4004000400404.

40400400040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17259355095844 + 23141044944196 = 4154438^2 + 4810514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40400400039994 and 40400400040021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17167307 + ... + 19378266.

Almost surely, 2^{40400400040040} is an apocalyptic number.

40400400040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400400040040 is an abundant number, since it is smaller than the sum of its proper divisors (53733689469160).

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

40400400040040 is a wasteful number, since it uses less digits than its factorization.

40400400040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36546566 (or 36546562 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40400400040040 its reverse (4004000400404), we get a palindrome (44404400440444).

The spelling of 40400400040040 in words is "forty trillion, four hundred billion, four hundred million, forty thousand, forty".