40013400441 has 96 divisors (see below), whose sum is σ = 65332396800. Its totient is φ = 21691084800.

The previous prime is 40013400439. The next prime is 40013400481. The reversal of 40013400441 is 14400431004.

It is not a de Polignac number, because 40013400441 - 2¹ = 40013400439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40013400481) 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 95 ways as a sum of consecutive naturals, for example, 99783841 + ... + 99784241.

It is an arithmetic number, because the mean of its divisors is an integer number (680545800).

Almost surely, 2^40013400441 is an apocalyptic number.

It is an amenable number.

40013400441 is a deficient number, since it is larger than the sum of its proper divisors (25318996359).

40013400441 is a wasteful number, since it uses less digits than its factorization.

40013400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40013400441 its reverse (14400431004), we get a palindrome (54413831445).

The spelling of 40013400441 in words is "forty billion, thirteen million, four hundred thousand, four hundred forty-one".