40407445405260 has 144 divisors (see below), whose sum is σ = 122933032840800. Its totient is φ = 10743383780352.

The previous prime is 40407445405241. The next prime is 40407445405279. The reversal of 40407445405260 is 6250454470404.

It is a happy number.

40407445405260 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 7 + 44 + 540 + 5 + 2 + 60 = 666.

40407445405260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40407445405241) and next prime (40407445405279).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 84668227 + ... + 85144133.

It is an arithmetic number, because the mean of its divisors is an integer number (853701616950).

Almost surely, 2^{40407445405260} is an apocalyptic number.

It is an amenable number.

40407445405260 is an abundant number, since it is smaller than the sum of its proper divisors (82525587435540).

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

40407445405260 is a wasteful number, since it uses less digits than its factorization.

40407445405260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477320 (or 477315 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

Adding to 40407445405260 its reverse (6250454470404), we get a palindrome (46657899875664).

The spelling of 40407445405260 in words is "forty trillion, four hundred seven billion, four hundred forty-five million, four hundred five thousand, two hundred sixty".