40444411304401 has 8 divisors (see below), whose sum is σ = 43576449986664. Its totient is φ = 37315362639360.

The previous prime is 40444411304359. The next prime is 40444411304461. The reversal of 40444411304401 is 10440311444404.

It can be written as a sum of positive squares in 4 ways, for example, as 1270582094401 + 39173829210000 = 1127201^2 + 6258900^2 .

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

It is not a de Polignac number, because 40444411304401 - 2⁷ = 40444411304273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40444411304461) 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, 747476206 + ... + 747530311.

It is an arithmetic number, because the mean of its divisors is an integer number (5447056248333).

Almost surely, 2^{40444411304401} is an apocalyptic number.

It is an amenable number.

40444411304401 is a deficient number, since it is larger than the sum of its proper divisors (3132038682263).

40444411304401 is a wasteful number, since it uses less digits than its factorization.

40444411304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495008611.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 40444411304401 its reverse (10440311444404), we get a palindrome (50884722748805).

The spelling of 40444411304401 in words is "forty trillion, four hundred forty-four billion, four hundred eleven million, three hundred four thousand, four hundred one".