40017506420761 has 16 divisors (see below), whose sum is σ = 41795408595600. Its totient is φ = 38266445564928.

The previous prime is 40017506420743. The next prime is 40017506420783. The reversal of 40017506420761 is 16702460571004.

It can be written as a sum of positive squares in 8 ways, for example, as 97147539225 + 39920358881536 = 311685^2 + 6318256^2 .

It is a cyclic number.

It is not a de Polignac number, because 40017506420761 - 2¹¹ = 40017506418713 is a prime.

It is a super-2 number, since 2×40017506420761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40017506420741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4505101 + ... + 10016533.

It is an arithmetic number, because the mean of its divisors is an integer number (2612213037225).

Almost surely, 2^{40017506420761} is an apocalyptic number.

It is an amenable number.

40017506420761 is a deficient number, since it is larger than the sum of its proper divisors (1777902174839).

40017506420761 is a wasteful number, since it uses less digits than its factorization.

40017506420761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513868.

The product of its (nonzero) digits is 282240, while the sum is 43.

Adding to 40017506420761 its reverse (16702460571004), we get a palindrome (56719966991765).

The spelling of 40017506420761 in words is "forty trillion, seventeen billion, five hundred six million, four hundred twenty thousand, seven hundred sixty-one".