41675005440000 has 1820 divisors, whose sum is σ = 158245386060696. Its totient is φ = 10964533248000.

The previous prime is 41675005439999. The next prime is 41675005440001. The reversal of 41675005440000 is 4450057614.

41675005440000 is a `hidden beast` number, since 4 + 1 + 67 + 50 + 0 + 544 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41675005439999) and next prime (41675005440001).

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

It is not an unprimeable number, because it can be changed into a prime (41675005440001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 255674879919 + ... + 255674880081.

Almost surely, 2^{41675005440000} is an apocalyptic number.

41675005440000 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 41675005440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79122693030348).

41675005440000 is an abundant number, since it is smaller than the sum of its proper divisors (116570380620696).

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

41675005440000 is an frugal number, since it uses more digits than its factorization.

41675005440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 41675005440000 its reverse (4450057614), we get a palindrome (41679455497614).

The spelling of 41675005440000 in words is "forty-one trillion, six hundred seventy-five billion, five million, four hundred forty thousand".