41874193920 has 320 divisors, whose sum is σ = 144963846720. Its totient is φ = 10250354688.

The previous prime is 41874193913. The next prime is 41874193951. The reversal of 41874193920 is 2939147814.

It is a tau number, because it is divible by the number of its divisors (320).

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 41874193920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19667416 + ... + 19669544.

It is an arithmetic number, because the mean of its divisors is an integer number (453012021).

Almost surely, 2^41874193920 is an apocalyptic number.

41874193920 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 41874193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72481923360).

41874193920 is an abundant number, since it is smaller than the sum of its proper divisors (103089652800).

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

41874193920 is a wasteful number, since it uses less digits than its factorization.

41874193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 41874193920 in words is "forty-one billion, eight hundred seventy-four million, one hundred ninety-three thousand, nine hundred twenty".