1040440401 has 72 divisors (see below), whose sum is σ = 2033304000. Its totient is φ = 498864960.

The previous prime is 1040440393. The next prime is 1040440417.

1040440401 is nontrivially palindromic in base 10.

1040440401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1040440401 - 2³ = 1040440393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040440301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93850 + ... + 104348.

Almost surely, 2^1040440401 is an apocalyptic number.

1040440401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1040440401 is a deficient number, since it is larger than the sum of its proper divisors (992863599).

1040440401 is a wasteful number, since it uses less digits than its factorization.

1040440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040440401 is about 32255.8583981267. The cubic root of 1040440401 is about 1013.3023953096.

It can be divided in two parts, 10404 and 40401, that multiplied together give a square (420332004 = 20502²).

The spelling of 1040440401 in words is "one billion, forty million, four hundred forty thousand, four hundred one".