40134022400441 has 2 divisors, whose sum is σ = 40134022400442. Its totient is φ = 40134022400440.

The previous prime is 40134022400357. The next prime is 40134022400467. The reversal of 40134022400441 is 14400422043104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36583190947216 + 3550831453225 = 6048404^2 + 1884365^2 .

It is a cyclic number.

It is not a de Polignac number, because 40134022400441 - 2¹⁰ = 40134022399417 is a prime.

It is a super-2 number, since 2×40134022400441² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40134022400041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067011200220 + 20067011200221.

It is an arithmetic number, because the mean of its divisors is an integer number (20067011200221).

Almost surely, 2^{40134022400441} is an apocalyptic number.

It is an amenable number.

40134022400441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40134022400441 is an equidigital number, since it uses as much as digits as its factorization.

40134022400441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 40134022400441 its reverse (14400422043104), we get a palindrome (54534444443545).

The spelling of 40134022400441 in words is "forty trillion, one hundred thirty-four billion, twenty-two million, four hundred thousand, four hundred forty-one".