40444332401 has 12 divisors (see below), whose sum is σ = 44460325812. Its totient is φ = 36763452000.

The previous prime is 40444332361. The next prime is 40444332433. The reversal of 40444332401 is 10423344404.

It is a happy number.

40444332401 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 2 ways, for example, as 15409498225 + 25034834176 = 124135^2 + 158224^2 .

It is not a de Polignac number, because 40444332401 - 2¹⁸ = 40444070257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40444032401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1757711 + ... + 1780571.

It is an arithmetic number, because the mean of its divisors is an integer number (3705027151).

Almost surely, 2^40444332401 is an apocalyptic number.

It is an amenable number.

40444332401 is a deficient number, since it is larger than the sum of its proper divisors (4015993411).

40444332401 is a wasteful number, since it uses less digits than its factorization.

40444332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37504 (or 37493 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 40444332401 its reverse (10423344404), we get a palindrome (50867676805).

The spelling of 40444332401 in words is "forty billion, four hundred forty-four million, three hundred thirty-two thousand, four hundred one".