41983570083840 has 2560 divisors, whose sum is σ = 182643310080000. Its totient is φ = 7972533043200.

The previous prime is 41983570083817. The next prime is 41983570083907. The reversal of 41983570083840 is 4838007538914.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471725506516 + ... + 471725506604.

It is an arithmetic number, because the mean of its divisors is an integer number (71345043000).

Almost surely, 2^{41983570083840} is an apocalyptic number.

41983570083840 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 41983570083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91321655040000).

41983570083840 is an abundant number, since it is smaller than the sum of its proper divisors (140659739996160).

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

41983570083840 is an equidigital number, since it uses as much as digits as its factorization.

41983570083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 41983570083840 in words is "forty-one trillion, nine hundred eighty-three billion, five hundred seventy million, eighty-three thousand, eight hundred forty".