41978612928000 has 640 divisors, whose sum is σ = 163397357899776. Its totient is φ = 9361072128000.

The previous prime is 41978612927963. The next prime is 41978612928011. The reversal of 41978612928000 is 82921687914.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54723097 + ... + 55484903.

Almost surely, 2^{41978612928000} is an apocalyptic number.

41978612928000 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 41978612928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81698678949888).

41978612928000 is an abundant number, since it is smaller than the sum of its proper divisors (121418744971776).

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

41978612928000 is an equidigital number, since it uses as much as digits as its factorization.

41978612928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761891 (or 761865 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 41978612928000 in words is "forty-one trillion, nine hundred seventy-eight billion, six hundred twelve million, nine hundred twenty-eight thousand".