41498424576000 has 1152 divisors, whose sum is σ = 178463208268800. Its totient is φ = 9485276774400.

The previous prime is 41498424575989. The next prime is 41498424576001. The reversal of 41498424576000 is 67542489414.

41498424576000 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 8 + 4 + 24 + 5 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (41498424576001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338626737 + ... + 338749263.

It is an arithmetic number, because the mean of its divisors is an integer number (154915979400).

Almost surely, 2^{41498424576000} is an apocalyptic number.

41498424576000 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 41498424576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89231604134400).

41498424576000 is an abundant number, since it is smaller than the sum of its proper divisors (136964783692800).

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

41498424576000 is a wasteful number, since it uses less digits than its factorization.

41498424576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122587 (or 122544 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 41498424576000 in words is "forty-one trillion, four hundred ninety-eight billion, four hundred twenty-four million, five hundred seventy-six thousand".