41345018597106 has 1024 divisors, whose sum is σ = 121955549184000. Its totient is φ = 10110190970880.

The previous prime is 41345018597101. The next prime is 41345018597147. The reversal of 41345018597106 is 60179581054314.

41345018597106 is a `hidden beast` number, since 4 + 1 + 3 + 45 + 0 + 1 + 8 + 597 + 1 + 0 + 6 = 666.

41345018597106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41345018597101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 37827097896 + ... + 37827098988.

It is an arithmetic number, because the mean of its divisors is an integer number (119097216000).

Almost surely, 2^{41345018597106} is an apocalyptic number.

41345018597106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41345018597106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60977774592000).

41345018597106 is an abundant number, since it is smaller than the sum of its proper divisors (80610530586894).

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

41345018597106 is a wasteful number, since it uses less digits than its factorization.

41345018597106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 41345018597106 in words is "forty-one trillion, three hundred forty-five billion, eighteen million, five hundred ninety-seven thousand, one hundred six".