40105508077601 has 8 divisors (see below), whose sum is σ = 40398457546344. Its totient is φ = 39812561631360.

The previous prime is 40105508077561. The next prime is 40105508077619. The reversal of 40105508077601 is 10677080550104.

It can be written as a sum of positive squares in 4 ways, for example, as 18585790143376 + 21519717934225 = 4311124^2 + 4638935^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40105508077601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40105508077301) 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, 30619331 + ... + 31902263.

It is an arithmetic number, because the mean of its divisors is an integer number (5049807193293).

Almost surely, 2^{40105508077601} is an apocalyptic number.

It is an amenable number.

40105508077601 is a deficient number, since it is larger than the sum of its proper divisors (292949468743).

40105508077601 is a wasteful number, since it uses less digits than its factorization.

40105508077601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511251.

The product of its (nonzero) digits is 235200, while the sum is 44.

The spelling of 40105508077601 in words is "forty trillion, one hundred five billion, five hundred eight million, seventy-seven thousand, six hundred one".