41441432000004 has 189 divisors, whose sum is σ = 109956011363247. Its totient is φ = 13660276243968.

The previous prime is 41441431999973. The next prime is 41441432000039. The reversal of 41441432000004 is 40000023414414.

The square root of 41441432000004 is 6437502.

It is a perfect power (a square), and thus also a powerful number.

41441432000004 is a `hidden beast` number, since 41 + 4 + 414 + 3 + 200 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13997999132100 + 27443432867904 = 3741390^2 + 5238648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33719634862 + ... + 33719636090.

Almost surely, 2^{41441432000004} is an apocalyptic number.

41441432000004 is the 6437502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41441432000004

41441432000004 is an abundant number, since it is smaller than the sum of its proper divisors (68514579363243).

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

41441432000004 is an frugal number, since it uses more digits than its factorization.

41441432000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1331 counting only the distinct ones).

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

Adding to 41441432000004 its reverse (40000023414414), we get a palindrome (81441455414418).

The spelling of 41441432000004 in words is "forty-one trillion, four hundred forty-one billion, four hundred thirty-two million, four", and thus it is an aban number.