40444440444000 has 288 divisors, whose sum is σ = 151980693149376. Its totient is φ = 10150761369600.

The previous prime is 40444440443941. The next prime is 40444440444029. The reversal of 40444440444000 is 44404444404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32430844 + ... + 33654843.

It is an arithmetic number, because the mean of its divisors is an integer number (527710740102).

Almost surely, 2^{40444440444000} is an apocalyptic number.

40444440444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444440444000 is an abundant number, since it is smaller than the sum of its proper divisors (111536252705376).

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

40444440444000 is a wasteful number, since it uses less digits than its factorization.

40444440444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66085735 (or 66085714 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 40444440444000 its reverse (44404444404), we get a palindrome (40488844888404).

The spelling of 40444440444000 in words is "forty trillion, four hundred forty-four billion, four hundred forty million, four hundred forty-four thousand".