40444011234 has 128 divisors (see below), whose sum is σ = 99157893120. Its totient is φ = 12117600000.

The previous prime is 40444011227. The next prime is 40444011271. The reversal of 40444011234 is 43211044404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40444011198 and 40444011207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21615319 + ... + 21617189.

It is an arithmetic number, because the mean of its divisors is an integer number (774671040).

Almost surely, 2^40444011234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444011234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578946560).

40444011234 is an abundant number, since it is smaller than the sum of its proper divisors (58713881886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40444011234 is a wasteful number, since it uses less digits than its factorization.

40444011234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40444011234 its reverse (43211044404), we get a palindrome (83655055638).

The spelling of 40444011234 in words is "forty billion, four hundred forty-four million, eleven thousand, two hundred thirty-four".