40444234400031 has 16 divisors (see below), whose sum is σ = 67231974067968. Its totient is φ = 21009991896000.

The previous prime is 40444234400023. The next prime is 40444234400069. The reversal of 40444234400031 is 13000443244404.

It is not a de Polignac number, because 40444234400031 - 2³ = 40444234400023 is a prime.

It is a super-2 number, since 2×40444234400031² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40444234399965 and 40444234400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444234404031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87541632670 + ... + 87541633131.

It is an arithmetic number, because the mean of its divisors is an integer number (4201998379248).

Almost surely, 2^{40444234400031} is an apocalyptic number.

40444234400031 is a deficient number, since it is larger than the sum of its proper divisors (26787739667937).

40444234400031 is a wasteful number, since it uses less digits than its factorization.

40444234400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175083265822.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 40444234400031 its reverse (13000443244404), we get a palindrome (53444677644435).

The spelling of 40444234400031 in words is "forty trillion, four hundred forty-four billion, two hundred thirty-four million, four hundred thousand, thirty-one".