40016705220313 has 16 divisors (see below), whose sum is σ = 42609010363920. Its totient is φ = 37450928793600.

The previous prime is 40016705220299. The next prime is 40016705220367. The reversal of 40016705220313 is 31302250761004.

It can be written as a sum of positive squares in 8 ways, for example, as 1027520786889 + 38989184433424 = 1013667^2 + 6244132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40016705220313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40016705220383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30148023 + ... + 31447363.

It is an arithmetic number, because the mean of its divisors is an integer number (2663063147745).

Almost surely, 2^{40016705220313} is an apocalyptic number.

It is an amenable number.

40016705220313 is a deficient number, since it is larger than the sum of its proper divisors (2592305143607).

40016705220313 is a wasteful number, since it uses less digits than its factorization.

40016705220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309548.

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 40016705220313 its reverse (31302250761004), we get a palindrome (71318955981317).

The spelling of 40016705220313 in words is "forty trillion, sixteen billion, seven hundred five million, two hundred twenty thousand, three hundred thirteen".