4000400441 has 16 divisors (see below), whose sum is σ = 4334010624. Its totient is φ = 3678015744.

The previous prime is 4000400329. The next prime is 4000400449. The reversal of 4000400441 is 1440040004.

4000400441 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4000400441 - 2¹⁸ = 4000138297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4000400449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445391 + ... + 454283.

It is an arithmetic number, because the mean of its divisors is an integer number (270875664).

Almost surely, 2^4000400441 is an apocalyptic number.

It is an amenable number.

4000400441 is a deficient number, since it is larger than the sum of its proper divisors (333610183).

4000400441 is a wasteful number, since it uses less digits than its factorization.

4000400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4000400441 is about 63248.7188882115. The cubic root of 4000400441 is about 1587.4540219060.

Adding to 4000400441 its reverse (1440040004), we get a palindrome (5440440445).

The spelling of 4000400441 in words is "four billion, four hundred thousand, four hundred forty-one".