40414034241 has 48 divisors (see below), whose sum is σ = 69794265600. Its totient is φ = 23045160096.

The previous prime is 40414034233. The next prime is 40414034249. The reversal of 40414034241 is 14243041404.

40414034241 is a `hidden beast` number, since 4 + 0 + 414 + 0 + 3 + 4 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (40414034233) and next prime (40414034249).

It is not a de Polignac number, because 40414034241 - 2³ = 40414034233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40414034249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601831 + ... + 665603.

It is an arithmetic number, because the mean of its divisors is an integer number (1454047200).

Almost surely, 2^40414034241 is an apocalyptic number.

It is an amenable number.

40414034241 is a deficient number, since it is larger than the sum of its proper divisors (29380231359).

40414034241 is a wasteful number, since it uses less digits than its factorization.

40414034241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64275 (or 64262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40414034241 its reverse (14243041404), we get a palindrome (54657075645).

The spelling of 40414034241 in words is "forty billion, four hundred fourteen million, thirty-four thousand, two hundred forty-one".