41812515981600 has 576 divisors, whose sum is σ = 167688494749440. Its totient is φ = 8812442419200.

The previous prime is 41812515981571. The next prime is 41812515981601. The reversal of 41812515981600 is 618951521814.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41812515981601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202790560 + ... + 202996640.

It is an arithmetic number, because the mean of its divisors is an integer number (291125858940).

Almost surely, 2^{41812515981600} is an apocalyptic number.

41812515981600 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 41812515981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83844247374720).

41812515981600 is an abundant number, since it is smaller than the sum of its proper divisors (125875978767840).

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

41812515981600 is a wasteful number, since it uses less digits than its factorization.

41812515981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207053 (or 207040 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 51.

The spelling of 41812515981600 in words is "forty-one trillion, eight hundred twelve billion, five hundred fifteen million, nine hundred eighty-one thousand, six hundred".