41873220480 has 1024 divisors, whose sum is σ = 172456704000. Its totient is φ = 8583708672.

The previous prime is 41873220461. The next prime is 41873220491. The reversal of 41873220480 is 8402237814.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573605724 + ... + 573605796.

It is an arithmetic number, because the mean of its divisors is an integer number (168414750).

Almost surely, 2^41873220480 is an apocalyptic number.

41873220480 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 41873220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86228352000).

41873220480 is an abundant number, since it is smaller than the sum of its proper divisors (130583483520).

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

41873220480 is a wasteful number, since it uses less digits than its factorization.

41873220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 41873220480 in words is "forty-one billion, eight hundred seventy-three million, two hundred twenty thousand, four hundred eighty".