40134584147761 has 16 divisors (see below), whose sum is σ = 41681727228240. Its totient is φ = 38598332416000.

The previous prime is 40134584147719. The next prime is 40134584147783. The reversal of 40134584147761 is 16774148543104.

It can be written as a sum of positive squares in 8 ways, for example, as 4746886200225 + 35387697947536 = 2178735^2 + 5948756^2 .

It is a cyclic number.

It is not a de Polignac number, because 40134584147761 - 2¹⁵ = 40134584114993 is a prime.

It is a super-3 number, since 3×40134584147761³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40134584147701) 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, 219779685 + ... + 219962221.

It is an arithmetic number, because the mean of its divisors is an integer number (2605107951765).

Almost surely, 2^{40134584147761} is an apocalyptic number.

It is an amenable number.

40134584147761 is a deficient number, since it is larger than the sum of its proper divisors (1547143080479).

40134584147761 is a wasteful number, since it uses less digits than its factorization.

40134584147761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212324.

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 40134584147761 in words is "forty trillion, one hundred thirty-four billion, five hundred eighty-four million, one hundred forty-seven thousand, seven hundred sixty-one".