41641411341600 has 1728 divisors, whose sum is σ = 183884150661120. Its totient is φ = 8647166361600.

The previous prime is 41641411341589. The next prime is 41641411341659. The reversal of 41641411341600 is 614311414614.

41641411341600 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 1 + 4 + 1 + 1 + 3 + 41 + 600 = 666.

It is a super-2 number, since 2×41641411341600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11766432631 + ... + 11766436169.

It is an arithmetic number, because the mean of its divisors is an integer number (106414439040).

Almost surely, 2^{41641411341600} is an apocalyptic number.

41641411341600 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 41641411341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91942075330560).

41641411341600 is an abundant number, since it is smaller than the sum of its proper divisors (142242739319520).

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

41641411341600 is a wasteful number, since it uses less digits than its factorization.

41641411341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41641411341600 in words is "forty-one trillion, six hundred forty-one billion, four hundred eleven million, three hundred forty-one thousand, six hundred".