41166851404800 has 528 divisors, whose sum is σ = 157158637756992. Its totient is φ = 9392789913600.

The previous prime is 41166851404799. The next prime is 41166851404879. The reversal of 41166851404800 is 840415866114.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41166851404800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12928374 + ... + 15794826.

Almost surely, 2^{41166851404800} is an apocalyptic number.

41166851404800 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 41166851404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78579318878496).

41166851404800 is an abundant number, since it is smaller than the sum of its proper divisors (115991786352192).

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

41166851404800 is a wasteful number, since it uses less digits than its factorization.

41166851404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866514 (or 2866491 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 41166851404800 in words is "forty-one trillion, one hundred sixty-six billion, eight hundred fifty-one million, four hundred four thousand, eight hundred".