40444744744404 has 384 divisors, whose sum is σ = 140801244917760. Its totient is φ = 9696038515200.

The previous prime is 40444744744351. The next prime is 40444744744427.

40444744744404 is a `hidden beast` number, since 40 + 44 + 47 + 447 + 44 + 40 + 4 = 666.

40444744744404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2024960962 + ... + 2024980934.

It is an arithmetic number, because the mean of its divisors is an integer number (366669908640).

Almost surely, 2^{40444744744404} is an apocalyptic number.

40444744744404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444744744404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70400622458880).

40444744744404 is an abundant number, since it is smaller than the sum of its proper divisors (100356500173356).

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

40444744744404 is a wasteful number, since it uses less digits than its factorization.

40444744744404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38748 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 51380224, while the sum is 54.

It can be divided in two parts, 4044474 and 4744404, that added together give a palindrome (8788878).

The spelling of 40444744744404 in words is "forty trillion, four hundred forty-four billion, seven hundred forty-four million, seven hundred forty-four thousand, four hundred four".