1040400000441 has 24 divisors (see below), whose sum is σ = 1505164981320. Its totient is φ = 692509171200.

The previous prime is 1040400000427. The next prime is 1040400000463. The reversal of 1040400000441 is 1440000040401.

It can be written as a sum of positive squares in 4 ways, for example, as 874976400 + 1039525024041 = 29580^2 + 1019571^2 .

It is not a de Polignac number, because 1040400000441 - 2⁶ = 1040400000377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040400000491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18851395 + ... + 18906503.

It is an arithmetic number, because the mean of its divisors is an integer number (62715207555).

Almost surely, 2^{1040400000441} is an apocalyptic number.

It is an amenable number.

1040400000441 is a deficient number, since it is larger than the sum of its proper divisors (464764980879).

1040400000441 is a wasteful number, since it uses less digits than its factorization.

1040400000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58377 (or 58374 counting only the distinct ones).

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

Adding to 1040400000441 its reverse (1440000040401), we get a palindrome (2480400040842).

The spelling of 1040400000441 in words is "one trillion, forty billion, four hundred million, four hundred forty-one", and thus it is an aban number.