40444126788 has 192 divisors, whose sum is σ = 109689753600. Its totient is φ = 11494379520.

The previous prime is 40444126787. The next prime is 40444126813. The reversal of 40444126788 is 88762144404.

It is not an unprimeable number, because it can be changed into a prime (40444126783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19433908 + ... + 19435988.

It is an arithmetic number, because the mean of its divisors is an integer number (571300800).

Almost surely, 2^40444126788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444126788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54844876800).

40444126788 is an abundant number, since it is smaller than the sum of its proper divisors (69245626812).

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

40444126788 is a wasteful number, since it uses less digits than its factorization.

40444126788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 40444126788 in words is "forty billion, four hundred forty-four million, one hundred twenty-six thousand, seven hundred eighty-eight".