40032400305313 has 8 divisors (see below), whose sum is σ = 43125200364456. Its totient is φ = 36941512339200.

The previous prime is 40032400305263. The next prime is 40032400305319. The reversal of 40032400305313 is 31350300423004.

It can be written as a sum of positive squares in 4 ways, for example, as 5151706049169 + 34880694256144 = 2269737^2 + 5905988^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 40032400305313 - 2²⁹ = 40031863434401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40032400305319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477979768 + ... + 478063513.

It is an arithmetic number, because the mean of its divisors is an integer number (5390650045557).

Almost surely, 2^{40032400305313} is an apocalyptic number.

It is an amenable number.

40032400305313 is a deficient number, since it is larger than the sum of its proper divisors (3092800059143).

40032400305313 is a wasteful number, since it uses less digits than its factorization.

40032400305313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956046515.

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 40032400305313 its reverse (31350300423004), we get a palindrome (71382700728317).

The spelling of 40032400305313 in words is "forty trillion, thirty-two billion, four hundred million, three hundred five thousand, three hundred thirteen".