1040414401 has 8 divisors (see below), whose sum is σ = 1147774824. Its totient is φ = 936958080.

The previous prime is 1040414363. The next prime is 1040414423. The reversal of 1040414401 is 1044140401.

1040414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 131331600 + 909082801 = 11460^2 + 30151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1040414401 - 2²⁹ = 503543489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1040414471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 975466 + ... + 976531.

It is an arithmetic number, because the mean of its divisors is an integer number (143471853).

Almost surely, 2^1040414401 is an apocalyptic number.

It is an amenable number.

1040414401 is a deficient number, since it is larger than the sum of its proper divisors (107360423).

1040414401 is a wasteful number, since it uses less digits than its factorization.

1040414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952051.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1040414401 is about 32255.4553680459. The cubic root of 1040414401 is about 1013.2939546269.

Adding to 1040414401 its reverse (1044140401), we get a palindrome (2084554802).

The spelling of 1040414401 in words is "one billion, forty million, four hundred fourteen thousand, four hundred one".