40105354221 has 24 divisors (see below), whose sum is σ = 60116710680. Its totient is φ = 25733452416.

The previous prime is 40105354171. The next prime is 40105354243. The reversal of 40105354221 is 12245350104.

40105354221 is a `hidden beast` number, since 40 + 10 + 53 + 542 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 946485225 + 39158868996 = 30765^2 + 197886^2 .

It is not a de Polignac number, because 40105354221 - 2¹⁵ = 40105321453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105354271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159630 + ... + 325103.

It is an arithmetic number, because the mean of its divisors is an integer number (2504862945).

Almost surely, 2^40105354221 is an apocalyptic number.

It is an amenable number.

40105354221 is a deficient number, since it is larger than the sum of its proper divisors (20011356459).

40105354221 is a wasteful number, since it uses less digits than its factorization.

40105354221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485085 (or 485082 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 40105354221 in words is "forty billion, one hundred five million, three hundred fifty-four thousand, two hundred twenty-one".