40443838560 has 144 divisors (see below), whose sum is σ = 138669738480. Its totient is φ = 10733829120.

The previous prime is 40443838553. The next prime is 40443838571. The reversal of 40443838560 is 6583834404.

40443838560 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 3 + 83 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237286 + ... + 370394.

It is an arithmetic number, because the mean of its divisors is an integer number (962984295).

Almost surely, 2^40443838560 is an apocalyptic number.

40443838560 is a gapful number since it is divisible by the number (40) 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 40443838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69334869240).

40443838560 is an abundant number, since it is smaller than the sum of its proper divisors (98225899920).

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

40443838560 is a wasteful number, since it uses less digits than its factorization.

40443838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133341 (or 133330 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 40443838560 in words is "forty billion, four hundred forty-three million, eight hundred thirty-eight thousand, five hundred sixty".