41874143040 has 336 divisors, whose sum is σ = 148280932800. Its totient is φ = 10840080384.

The previous prime is 41874142991. The next prime is 41874143081. The reversal of 41874143040 is 4034147814.

It is a happy number.

41874143040 is a `hidden beast` number, since 4 + 187 + 4 + 1 + 430 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41874142986 and 41874143004.

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, 22166416 + ... + 22168304.

It is an arithmetic number, because the mean of its divisors is an integer number (441312300).

Almost surely, 2^41874143040 is an apocalyptic number.

41874143040 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 41874143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74140466400).

41874143040 is an abundant number, since it is smaller than the sum of its proper divisors (106406789760).

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

41874143040 is a wasteful number, since it uses less digits than its factorization.

41874143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 41874143040 in words is "forty-one billion, eight hundred seventy-four million, one hundred forty-three thousand, forty".