40434412244211 has 24 divisors (see below), whose sum is σ = 59062901040000. Its totient is φ = 26652763539072.

The previous prime is 40434412244153. The next prime is 40434412244267. The reversal of 40434412244211 is 11244221443404.

40434412244211 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 4 + 4 + 1 + 224 + 421 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-40434412244211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40434412244311) 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, 34498590 + ... + 35651388.

It is an arithmetic number, because the mean of its divisors is an integer number (2460954210000).

Almost surely, 2^{40434412244211} is an apocalyptic number.

40434412244211 is a deficient number, since it is larger than the sum of its proper divisors (18628488795789).

40434412244211 is a wasteful number, since it uses less digits than its factorization.

40434412244211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196683 (or 1196680 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 40434412244211 its reverse (11244221443404), we get a palindrome (51678633687615).

The spelling of 40434412244211 in words is "forty trillion, four hundred thirty-four billion, four hundred twelve million, two hundred forty-four thousand, two hundred eleven".